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86173680 = 24351721121
BaseRepresentation
bin1010010001011…
…10011111110000
320000011002001210
411020232133300
5134030024210
612315000120
72064315135
oct510563760
9200132053
1086173680
114470861a
1224a39040
1314b12458
14b63258c
157872e20
hex522e7f0

86173680 has 80 divisors (see below), whose sum is σ = 282865824. Its totient is φ = 21626880.

The previous prime is 86173673. The next prime is 86173729. The reversal of 86173680 is 8637168.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6481 + ... + 14640.

Almost surely, 286173680 is an apocalyptic number.

86173680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86173680 is an abundant number, since it is smaller than the sum of its proper divisors (196692144).

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

86173680 is a wasteful number, since it uses less digits than its factorization.

86173680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21154 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 86173680 is about 9282.9779704575. The cubic root of 86173680 is about 441.6974376726.

The spelling of 86173680 in words is "eighty-six million, one hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 21121 42242 63363 84484 105605 126726 168968 211210 253452 316815 337936 359057 422420 506904 633630 718114 844840 1013808 1077171 1267260 1436228 1689680 1795285 2154342 2534520 2872456 3590570 4308684 5069040 5385855 5744912 7181140 8617368 10771710 14362280 17234736 21543420 28724560 43086840 86173680