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12937638 = 2372359227
BaseRepresentation
bin110001010110…
…100110100110
3220100022002210
4301112212212
511303001023
61141144250
7214653030
oct61264646
926308083
1012937638
11733726a
1243bb086
1328aca0c
141a0ac50
151208593
hexc569a6

12937638 has 64 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 3460512.

The previous prime is 12937621. The next prime is 12937649. The reversal of 12937638 is 83673921.

12937638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12937596 and 12937605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56881 + ... + 57107.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 212937638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12937638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

12937638 is an abundant number, since it is smaller than the sum of its proper divisors (18581082).

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

12937638 is a wasteful number, since it uses less digits than its factorization.

12937638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321.

The product of its digits is 54432, while the sum is 39.

The square root of 12937638 is about 3596.8928257595. The cubic root of 12937638 is about 234.7568815103.

The spelling of 12937638 in words is "twelve million, nine hundred thirty-seven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 59 69 118 138 161 177 227 322 354 413 454 483 681 826 966 1239 1357 1362 1589 2478 2714 3178 4071 4767 5221 8142 9499 9534 10442 13393 15663 18998 26786 28497 31326 36547 40179 56994 73094 80358 93751 109641 187502 219282 281253 308039 562506 616078 924117 1848234 2156273 4312546 6468819 12937638