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107990496 = 253461683
BaseRepresentation
bin1100110111111…
…00110111100000
321112012111010000
412123330313200
5210121143441
614414340000
72450622045
oct633746740
9245174100
10107990496
1155a59949
12301ba600
13194b0803
14104b11cc
1597322b6
hex66fcde0

107990496 has 120 divisors (see below), whose sum is σ = 323276184. Its totient is φ = 35354880.

The previous prime is 107990447. The next prime is 107990507. The reversal of 107990496 is 694099701.

107990496 is a `hidden beast` number, since 1 + 0 + 79 + 90 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157771 + ... + 158453.

Almost surely, 2107990496 is an apocalyptic number.

107990496 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 107990496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161638092).

107990496 is an abundant number, since it is smaller than the sum of its proper divisors (215285688).

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

107990496 is an equidigital number, since it uses as much as digits as its factorization.

107990496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 107990496 is about 10391.8475739399. The cubic root of 107990496 is about 476.2063460514.

The spelling of 107990496 in words is "one hundred seven million, nine hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 244 288 324 366 432 488 549 648 683 732 864 976 1098 1296 1366 1464 1647 1952 2049 2196 2592 2732 2928 3294 4098 4392 4941 5464 5856 6147 6588 8196 8784 9882 10928 12294 13176 16392 17568 18441 19764 21856 24588 26352 32784 36882 39528 41663 49176 52704 55323 65568 73764 79056 83326 98352 110646 124989 147528 158112 166652 196704 221292 249978 295056 333304 374967 442584 499956 590112 666608 749934 885168 999912 1124901 1333216 1499868 1770336 1999824 2249802 2999736 3374703 3999648 4499604 5999472 6749406 8999208 11998944 13498812 17998416 26997624 35996832 53995248 107990496