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13931712 = 263219267
BaseRepresentation
bin110101001001…
…010011000000
3222012210201100
4311021103000
512031303322
61214334400
7226263144
oct65112300
928183640
1013931712
117956113
1247ba400
132b6a322
141bc9224
151352dac
hexd494c0

13931712 has 126 divisors (see below), whose sum is σ = 42774108. Its totient is φ = 4333824.

The previous prime is 13931711. The next prime is 13931717. The reversal of 13931712 is 21713931.

It is not an unprimeable number, because it can be changed into a prime (13931711) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207903 + ... + 207969.

Almost surely, 213931712 is an apocalyptic number.

13931712 is a gapful number since it is divisible by the number (12) 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 13931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21387054).

13931712 is an abundant number, since it is smaller than the sum of its proper divisors (28842396).

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

13931712 is a wasteful number, since it uses less digits than its factorization.

13931712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 13931712 is about 3732.5208639738. The cubic root of 13931712 is about 240.6217213698.

The spelling of 13931712 in words is "thirteen million, nine hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 67 72 76 96 114 134 144 152 171 192 201 228 268 288 304 342 361 402 456 536 576 603 608 684 722 804 912 1072 1083 1206 1216 1273 1368 1444 1608 1824 2144 2166 2412 2546 2736 2888 3216 3249 3648 3819 4288 4332 4824 5092 5472 5776 6432 6498 7638 8664 9648 10184 10944 11457 11552 12864 12996 15276 17328 19296 20368 22914 23104 24187 25992 30552 34656 38592 40736 45828 48374 51984 61104 69312 72561 81472 91656 96748 103968 122208 145122 183312 193496 207936 217683 244416 290244 366624 386992 435366 580488 733248 773984 870732 1160976 1547968 1741464 2321952 3482928 4643904 6965856 13931712