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107979696 = 24331131733
BaseRepresentation
bin1100110111110…
…10001110110000
321112011221022000
412123322032300
5210120322241
614414214000
72450545416
oct633721660
9245157260
10107979696
1155a51820
12301b4300
13194a8916
14104ab2b6
15972deb6
hex66fa3b0

107979696 has 160 divisors (see below), whose sum is σ = 349501440. Its totient is φ = 31622400.

The previous prime is 107979689. The next prime is 107979719. The reversal of 107979696 is 696979701.

It is a super-2 number, since 2×1079796962 = 23319229496504832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 146946 + ... + 147678.

It is an arithmetic number, because the mean of its divisors is an integer number (2184384).

Almost surely, 2107979696 is an apocalyptic number.

107979696 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 107979696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174750720).

107979696 is an abundant number, since it is smaller than the sum of its proper divisors (241521744).

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

107979696 is a wasteful number, since it uses less digits than its factorization.

107979696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 107979696 is about 10391.3279228403. The cubic root of 107979696 is about 476.1904705803.

The spelling of 107979696 in words is "one hundred seven million, nine hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 733 744 792 837 1023 1116 1188 1364 1466 1488 1584 1674 2046 2199 2232 2376 2728 2932 3069 3348 4092 4398 4464 4752 5456 5864 6138 6597 6696 8063 8184 8796 9207 11728 12276 13194 13392 16126 16368 17592 18414 19791 22723 24189 24552 26388 32252 35184 36828 39582 45446 48378 49104 52776 64504 68169 72567 73656 79164 90892 96756 105552 129008 136338 145134 147312 158328 181784 193512 204507 217701 249953 272676 290268 316656 363568 387024 409014 435402 499906 545352 580536 613521 749859 818028 870804 999812 1090704 1161072 1227042 1499718 1636056 1741608 1999624 2249577 2454084 2999436 3272112 3483216 3999248 4499154 4908168 5998872 6748731 8998308 9816336 11997744 13497462 17996616 26994924 35993232 53989848 107979696