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107687376 = 2432747829
BaseRepresentation
bin1100110101100…
…10110111010000
321111122002022100
412122302313100
5210031444001
614404040400
72445220236
oct632626720
9244562270
10107687376
1155872135
1230093100
1319405854
1410432956
1596c2586
hex66b2dd0

107687376 has 30 divisors (see below), whose sum is σ = 301375490. Its totient is φ = 35895744.

The previous prime is 107687341. The next prime is 107687381. The reversal of 107687376 is 673786701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 36723600 = 8424^2 + 6060^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 373771 + ... + 374058.

Almost surely, 2107687376 is an apocalyptic number.

107687376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107687376 is an abundant number, since it is smaller than the sum of its proper divisors (193688114).

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

107687376 is a wasteful number, since it uses less digits than its factorization.

107687376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747843 (or 747834 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 107687376 is about 10377.2528156541. The cubic root of 107687376 is about 475.7603718188.

The spelling of 107687376 in words is "one hundred seven million, six hundred eighty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 747829 1495658 2243487 2991316 4486974 5982632 6730461 8973948 11965264 13460922 17947896 26921844 35895792 53843688 107687376