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107000364 = 22328573121
BaseRepresentation
bin1100110000010…
…11001000101100
321110100011220110
412120023020230
5204343002424
614341220020
72436326262
oct630131054
9243304813
10107000364
1155442a59
122ba01610
1319224c33
14102d4432
1595d8c29
hex660b22c

107000364 has 24 divisors (see below), whose sum is σ = 249834928. Its totient is φ = 35642880.

The previous prime is 107000359. The next prime is 107000371. The reversal of 107000364 is 463000701.

It is a super-2 number, since 2×1070003642 = 22898155792264992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107000364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32724 + ... + 35844.

Almost surely, 2107000364 is an apocalyptic number.

It is an amenable number.

107000364 is an abundant number, since it is smaller than the sum of its proper divisors (142834564).

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

107000364 is a wasteful number, since it uses less digits than its factorization.

107000364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 107000364 is about 10344.0980273777. The cubic root of 107000364 is about 474.7464781929.

The spelling of 107000364 in words is "one hundred seven million, three hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 2857 3121 5714 6242 8571 9363 11428 12484 17142 18726 34284 37452 8916697 17833394 26750091 35666788 53500182 107000364