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12937288 = 2371321367
BaseRepresentation
bin110001010110…
…100001001000
3220100021121211
4301112201020
511302443123
61141142504
7214652020
oct61264110
926307554
1012937288
117336a81
1243baa34
1328ac800
141a0aa80
15120840d
hexc56848

12937288 has 48 divisors (see below), whose sum is σ = 30041280. Its totient is φ = 5114304.

The previous prime is 12937273. The next prime is 12937333. The reversal of 12937288 is 88273921.

12937288 = T92 + T93 + ... + T427.

It is a self number, because there is not a number n which added to its sum of digits gives 12937288.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8781 + ... + 10147.

It is an arithmetic number, because the mean of its divisors is an integer number (625860).

Almost surely, 212937288 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 12937288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020640).

12937288 is an abundant number, since it is smaller than the sum of its proper divisors (17103992).

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

12937288 is a wasteful number, since it uses less digits than its factorization.

12937288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1389 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 12937288 is about 3596.8441723266. The cubic root of 12937288 is about 234.7547645435.

It can be divided in two parts, 12937 and 288, that added together give a square (13225 = 1152).

The spelling of 12937288 in words is "twelve million, nine hundred thirty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 1367 2366 2734 4732 5468 9464 9569 10936 17771 19138 35542 38276 71084 76552 124397 142168 231023 248794 462046 497588 924092 995176 1617161 1848184 3234322 6468644 12937288