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86497360 = 2451763601
BaseRepresentation
bin1010010011111…
…01100001010000
320000202112001221
411021331201100
5134120403420
612325534424
72100133615
oct511754120
9200675057
1086497360
1144909824
1224b74414
1314bc6891
14b6b850c
1578d8caa
hex527d850

86497360 has 40 divisors (see below), whose sum is σ = 212939496. Its totient is φ = 32563200.

The previous prime is 86497351. The next prime is 86497387. The reversal of 86497360 is 6379468.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36144144 + 50353216 = 6012^2 + 7096^2 .

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

It is a congruent number.

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, 30441 + ... + 33160.

Almost surely, 286497360 is an apocalyptic number.

86497360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86497360 is an abundant number, since it is smaller than the sum of its proper divisors (126442136).

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

86497360 is a wasteful number, since it uses less digits than its factorization.

86497360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63631 (or 63625 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 86497360 is about 9300.3956905069. The cubic root of 86497360 is about 442.2497718117.

The spelling of 86497360 in words is "eighty-six million, four hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 63601 127202 254404 318005 508808 636010 1017616 1081217 1272020 2162434 2544040 4324868 5088080 5406085 8649736 10812170 17299472 21624340 43248680 86497360