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10508 = 223771
BaseRepresentation
bin10100100001100
3112102012
42210030
5314013
6120352
742431
oct24414
915365
1010508
117993
1260b8
134a24
143b88
1531a8
hex290c

10508 has 12 divisors (see below), whose sum is σ = 19152. Its totient is φ = 5040.

The previous prime is 10501. The next prime is 10513. The reversal of 10508 is 80501.

It is a super-2 number, since 2×105082 = 220836128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10492 and 10501.

It is not an unprimeable number, because it can be changed into a prime (10501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

210508 is an apocalyptic number.

It is an amenable number.

10508 is a deficient number, since it is larger than the sum of its proper divisors (8644).

10508 is a wasteful number, since it uses less digits than its factorization.

10508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10508 is about 102.5085362299. The cubic root of 10508 is about 21.9031555818.

The spelling of 10508 in words is "ten thousand, five hundred eight".

Divisors: 1 2 4 37 71 74 142 148 284 2627 5254 10508