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107974416 = 243111947229
BaseRepresentation
bin1100110111110…
…00111100010000
321112011200001110
412123320330100
5210120140131
614414133320
72450524134
oct633707420
9245150043
10107974416
1155a48860
12301b1240
13194a63b4
14104a93c4
15972c646
hex66f8f10

107974416 has 160 divisors (see below), whose sum is σ = 328550400. Its totient is φ = 30205440.

The previous prime is 107974379. The next prime is 107974417. The reversal of 107974416 is 614479701.

It is not an unprimeable number, because it can be changed into a prime (107974417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471390 + ... + 471618.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 2107974416 is an apocalyptic number.

107974416 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 107974416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275200).

107974416 is an abundant number, since it is smaller than the sum of its proper divisors (220575984).

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

107974416 is a wasteful number, since it uses less digits than its factorization.

107974416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 107974416 is about 10391.0738617334. The cubic root of 107974416 is about 476.1827088536.

The spelling of 107974416 in words is "one hundred seven million, nine hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 47 48 57 66 76 88 94 114 132 141 152 176 188 209 228 229 264 282 304 376 418 456 458 517 528 564 627 687 752 836 893 912 916 1034 1128 1254 1374 1551 1672 1786 1832 2068 2256 2508 2519 2679 2748 3102 3344 3572 3664 4136 4351 5016 5038 5358 5496 6204 7144 7557 8272 8702 9823 10032 10076 10716 10763 10992 12408 13053 14288 15114 17404 19646 20152 21432 21526 24816 26106 29469 30228 32289 34808 39292 40304 42864 43052 47861 52212 58938 60456 64578 69616 78584 86104 95722 104424 117876 118393 120912 129156 143583 157168 172208 191444 204497 208848 235752 236786 258312 287166 355179 382888 408994 471504 473572 516624 574332 613491 710358 765776 817988 947144 1148664 1226982 1420716 1635976 1894288 2249467 2297328 2453964 2841432 3271952 4498934 4907928 5682864 6748401 8997868 9815856 13496802 17995736 26993604 35991472 53987208 107974416