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12631136 = 2571731107
BaseRepresentation
bin110000001011…
…110001100000
3212202201122212
4300023301200
511213144021
61130421252
7212235320
oct60136140
925681585
1012631136
117147a61
124291828
13280335b
14196b280
15119785b
hexc0bc60

12631136 has 96 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 4884480.

The previous prime is 12631111. The next prime is 12631141. The reversal of 12631136 is 63113621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117995 + ... + 118101.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 212631136 is an apocalyptic number.

12631136 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 12631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

12631136 is an abundant number, since it is smaller than the sum of its proper divisors (18721696).

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

12631136 is a wasteful number, since it uses less digits than its factorization.

12631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 12631136 is about 3554.0309509063. The cubic root of 12631136 is about 232.8881925944. Note that the first 3 decimals are identical.

Adding to 12631136 its reverse (63113621), we get a palindrome (75744757).

The spelling of 12631136 in words is "twelve million, six hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 68 107 112 119 124 136 214 217 224 238 248 272 428 434 476 496 527 544 749 856 868 952 992 1054 1498 1712 1736 1819 1904 2108 2996 3317 3424 3472 3638 3689 3808 4216 5992 6634 6944 7276 7378 8432 11984 12733 13268 14552 14756 16864 23219 23968 25466 26536 29104 29512 46438 50932 53072 56389 58208 59024 92876 101864 106144 112778 118048 185752 203728 225556 371504 394723 407456 451112 743008 789446 902224 1578892 1804448 3157784 6315568 12631136