• 10236 is the smallest number such that inserting plus or minus signs before or between its digits we can obtain any number between 0 and 10. Here 0 = 1+02+3-6, 1 = -10+2+3+6, 2 = 1+0-2-3+6, ..., 10 = -1+0+2+3+6. See also 1024783 and 1123486875.

10236 has 12 divisors (see below), whose sum is σ = 23912. Its totient is φ = 3408.

The previous prime is 10223. The next prime is 10243. The reversal of 10236 is 63201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 853 = 10236 / (1 + 0 + 2 + 3 + 6).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 415 + ... + 438.

2^{10236} is an apocalyptic number.

It is an amenable number.

10236 is an abundant number, since it is smaller than the sum of its proper divisors (13676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956).

10236 is a wasteful number, since it uses less digits than its factorization.

10236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10236 is about 101.1731189595. The cubic root of 10236 is about 21.7125130462.

Adding to 10236 its reverse (63201), we get a palindrome (73437).

The spelling of 10236 in words is "ten thousand, two hundred thirty-six".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.150 sec. • engine limits •