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12911364 = 223217373
BaseRepresentation
bin110001010000…
…001100000100
3220021222001200
4301100030010
511301130424
61140422500
7214513314
oct61201404
926258050
1012911364
117319554
1243a7a30
1328a0a7b
141a01444
1512008c9
hexc50304

12911364 has 72 divisors (see below), whose sum is σ = 35151480. Its totient is φ = 3995136.

The previous prime is 12911363. The next prime is 12911399. The reversal of 12911364 is 46311921.

It can be written as a sum of positive squares in 4 ways, for example, as 2722500 + 10188864 = 1650^2 + 3192^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12911363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176832 + ... + 176904.

It is an arithmetic number, because the mean of its divisors is an integer number (488215).

Almost surely, 212911364 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 12911364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575740).

12911364 is an abundant number, since it is smaller than the sum of its proper divisors (22240116).

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

12911364 is a wasteful number, since it uses less digits than its factorization.

12911364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 12911364 is about 3593.2386505769. The cubic root of 12911364 is about 234.5978575734.

The spelling of 12911364 in words is "twelve million, nine hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 289 292 306 438 578 612 657 867 876 1156 1241 1314 1734 2482 2601 2628 3468 3723 4913 4964 5202 7446 9826 10404 11169 14739 14892 19652 21097 22338 29478 42194 44217 44676 58956 63291 84388 88434 126582 176868 189873 253164 358649 379746 717298 759492 1075947 1434596 2151894 3227841 4303788 6455682 12911364