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107996976 = 243647197
BaseRepresentation
bin1100110111111…
…10011100110000
321112012211000000
412123332130300
5210121400401
614414430000
72450646663
oct633763460
9245184000
10107996976
1155a637aa
1230202300
13194b3749
14104b36da
159734186
hex66fe730

107996976 has 140 divisors (see below), whose sum is σ = 322024032. Its totient is φ = 35054208.

The previous prime is 107996947. The next prime is 107996981. The reversal of 107996976 is 679699701.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 548110 + ... + 548306.

Almost surely, 2107996976 is an apocalyptic number.

107996976 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 107996976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161012016).

107996976 is an abundant number, since it is smaller than the sum of its proper divisors (214027056).

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

107996976 is an equidigital number, since it uses as much as digits as its factorization.

107996976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

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

The square root of 107996976 is about 10392.1593521270. The cubic root of 107996976 is about 476.2158708260.

The spelling of 107996976 in words is "one hundred seven million, nine hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 197 216 243 282 324 376 394 423 432 486 564 591 648 729 752 788 846 972 1128 1182 1269 1296 1458 1576 1692 1773 1944 2256 2364 2538 2916 3152 3384 3546 3807 3888 4728 5076 5319 5832 6768 7092 7614 9259 9456 10152 10638 11421 11664 14184 15228 15957 18518 20304 21276 22842 27777 28368 30456 31914 34263 37036 42552 45684 47871 55554 60912 63828 68526 74072 83331 85104 91368 95742 111108 127656 137052 143613 148144 166662 182736 191484 222216 249993 255312 274104 287226 333324 382968 444432 499986 548208 574452 666648 749979 765936 999972 1148904 1333296 1499958 1999944 2249937 2297808 2999916 3999888 4499874 5999832 6749811 8999748 11999664 13499622 17999496 26999244 35998992 53998488 107996976