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10631136 = 253374173
BaseRepresentation
bin101000100011…
…011111100000
3202000010011210
4220203133200
510210144021
61015510120
7156235365
oct50433740
922003153
1010631136
11600136a
123688340
132282c19
1415aa46c
15deee76
hexa237e0

10631136 has 96 divisors (see below), whose sum is σ = 29762208. Its totient is φ = 3317760.

The previous prime is 10631123. The next prime is 10631143. The reversal of 10631136 is 63113601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106311362 = 226042105300992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145596 + ... + 145668.

It is an arithmetic number, because the mean of its divisors is an integer number (310023).

Almost surely, 210631136 is an apocalyptic number.

10631136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881104).

10631136 is an abundant number, since it is smaller than the sum of its proper divisors (19131072).

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

10631136 is a wasteful number, since it uses less digits than its factorization.

10631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 10631136 is about 3260.5422861849. The cubic root of 10631136 is about 219.8837953805.

Adding to 10631136 its reverse (63113601), we get a palindrome (73744737).

The spelling of 10631136 in words is "ten million, six hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 73 74 82 96 111 123 146 148 164 219 222 246 292 296 328 438 444 492 584 592 656 876 888 984 1168 1184 1312 1517 1752 1776 1968 2336 2701 2993 3034 3504 3552 3936 4551 5402 5986 6068 7008 8103 8979 9102 10804 11972 12136 16206 17958 18204 21608 23944 24272 32412 35916 36408 43216 47888 48544 64824 71832 72816 86432 95776 110741 129648 143664 145632 221482 259296 287328 332223 442964 664446 885928 1328892 1771856 2657784 3543712 5315568 10631136