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10168956 = 2233713451
BaseRepresentation
bin100110110010…
…101001111100
3201010122012000
4212302221330
510100401311
61001542300
7152302050
oct46625174
921118160
1010168956
1158160a6
1234a4990
132150745
1414c9c60
15d5d056
hex9b2a7c

10168956 has 48 divisors (see below), whose sum is σ = 30132480. Its totient is φ = 2905200.

The previous prime is 10168927. The next prime is 10168957. The reversal of 10168956 is 65986101.

It is a super-2 number, since 2×101689562 = 206815332259872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10168956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10168957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5970 + ... + 7481.

It is an arithmetic number, because the mean of its divisors is an integer number (627760).

Almost surely, 210168956 is an apocalyptic number.

It is an amenable number.

10168956 is an abundant number, since it is smaller than the sum of its proper divisors (19963524).

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

10168956 is a wasteful number, since it uses less digits than its factorization.

10168956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13471 (or 13463 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10168956 is about 3188.8800541883. The cubic root of 10168956 is about 216.6500479035.

The spelling of 10168956 in words is "ten million, one hundred sixty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 13451 26902 40353 53804 80706 94157 121059 161412 188314 242118 282471 363177 376628 484236 564942 726354 847413 1129884 1452708 1694826 2542239 3389652 5084478 10168956