Search a number
-
+
10156464 = 2432251281
BaseRepresentation
bin100110101111…
…100110110000
3201010000001100
4212233212300
510100001324
61001404400
7152220453
oct46574660
921100040
1010156464
11580777a
123499700
132147b56
1414c549a
15d594c9
hex9af9b0

10156464 has 60 divisors (see below), whose sum is σ = 28638792. Its totient is φ = 3360000.

The previous prime is 10156457. The next prime is 10156483. The reversal of 10156464 is 46465101.

10156464 is a `hidden beast` number, since 1 + 0 + 15 + 646 + 4 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36004 + ... + 36284.

Almost surely, 210156464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10156464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319396).

10156464 is an abundant number, since it is smaller than the sum of its proper divisors (18482328).

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

10156464 is a wasteful number, since it uses less digits than its factorization.

10156464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10156464 is about 3186.9207709010. The cubic root of 10156464 is about 216.5612973516.

It can be divided in two parts, 101 and 56464, that added together give a palindrome (56565).

The spelling of 10156464 in words is "ten million, one hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 281 502 562 753 843 1004 1124 1506 1686 2008 2248 2259 2529 3012 3372 4016 4496 4518 5058 6024 6744 9036 10116 12048 13488 18072 20232 36144 40464 70531 141062 211593 282124 423186 564248 634779 846372 1128496 1269558 1692744 2539116 3385488 5078232 10156464