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15997696 = 2811131923
BaseRepresentation
bin111101000001…
…101100000000
31010002202201021
4331001230000
513043411241
61330515224
7252656341
oct75015400
933082637
1015997696
119037340
125435b14
1334117c0
1421a60c8
1516100d1
hexf41b00

15997696 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 6082560.

The previous prime is 15997691. The next prime is 15997703. The reversal of 15997696 is 69679951.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15997691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695541 + ... + 695563.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 215997696 is an apocalyptic number.

15997696 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 15997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

15997696 is an abundant number, since it is smaller than the sum of its proper divisors (25209344).

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

15997696 is a wasteful number, since it uses less digits than its factorization.

15997696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its digits is 918540, while the sum is 52.

The square root of 15997696 is about 3999.7119896313. The cubic root of 15997696 is about 251.9721141563.

The spelling of 15997696 in words is "fifteen million, nine hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 19 22 23 26 32 38 44 46 52 64 76 88 92 104 128 143 152 176 184 208 209 247 253 256 286 299 304 352 368 416 418 437 494 506 572 598 608 704 736 832 836 874 988 1012 1144 1196 1216 1408 1472 1664 1672 1748 1976 2024 2288 2392 2432 2717 2816 2944 3289 3328 3344 3496 3952 4048 4576 4784 4807 4864 5434 5681 5888 6578 6688 6992 7904 8096 9152 9568 9614 10868 11362 13156 13376 13984 15808 16192 18304 19136 19228 21736 22724 26312 26752 27968 31616 32384 36608 38272 38456 43472 45448 52624 53504 55936 62491 63232 64768 76544 76912 86944 90896 105248 111872 124982 153824 173888 181792 210496 249964 307648 347776 363584 420992 499928 615296 695552 727168 841984 999856 1230592 1454336 1999712 3999424 7998848 15997696