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86965680 = 2435362357
BaseRepresentation
bin1010010111011…
…11110110110000
320001122022111010
411023233312300
5134230400210
612343550520
72104124154
oct513576660
9201568433
1086965680
11450a966a
122515b440
131502baa9
14b79b064
15797c920
hex52efdb0

86965680 has 40 divisors (see below), whose sum is σ = 269594352. Its totient is φ = 23190784.

The previous prime is 86965667. The next prime is 86965721. The reversal of 86965680 is 8656968.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180939 + ... + 181418.

Almost surely, 286965680 is an apocalyptic number.

86965680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86965680 is an abundant number, since it is smaller than the sum of its proper divisors (182628672).

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

86965680 is a wasteful number, since it uses less digits than its factorization.

86965680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362373 (or 362367 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 86965680 is about 9325.5391265063. The cubic root of 86965680 is about 443.0464887764.

The spelling of 86965680 in words is "eighty-six million, nine hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 362357 724714 1087071 1449428 1811785 2174142 2898856 3623570 4348284 5435355 5797712 7247140 8696568 10870710 14494280 17393136 21741420 28988560 43482840 86965680