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86116275 = 32527273107
BaseRepresentation
bin1010010001000…
…00011110110011
320000001011022200
411020200132303
5134021210100
612313434243
72063655600
oct510403663
9200034280
1086116275
1144679483
1224a0b983
1314ac229b
14b6196a7
157860e00
hex52207b3

86116275 has 108 divisors (see below), whose sum is σ = 183584232. Its totient is φ = 38465280.

The previous prime is 86116273. The next prime is 86116291. The reversal of 86116275 is 57261168.

It is not a de Polignac number, because 86116275 - 21 = 86116273 is a prime.

Its product of digits (20160) is a multiple of the sum of its prime factors (210).

It is not an unprimeable number, because it can be changed into a prime (86116273) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 804772 + ... + 804878.

It is an arithmetic number, because the mean of its divisors is an integer number (1699854).

Almost surely, 286116275 is an apocalyptic number.

86116275 is an abundant number, since it is smaller than the sum of its proper divisors (97467957).

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

86116275 is a wasteful number, since it uses less digits than its factorization.

86116275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 86116275 is about 9279.8855057592. The cubic root of 86116275 is about 441.5993362811.

The spelling of 86116275 in words is "eighty-six million, one hundred sixteen thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 73 75 105 107 147 175 219 225 245 315 321 365 441 511 525 535 657 735 749 963 1095 1225 1533 1575 1605 1825 2205 2247 2555 2675 3285 3577 3675 3745 4599 4815 5243 5475 6741 7665 7811 8025 10731 11025 11235 12775 15729 16425 17885 18725 22995 23433 24075 26215 32193 33705 38325 39055 47187 53655 54677 56175 70299 78645 89425 114975 117165 131075 160965 164031 168525 195275 235935 268275 273385 351495 382739 393225 492093 585825 804825 820155 1148217 1179675 1366925 1757475 1913695 2460465 3444651 4100775 5741085 9568475 12302325 17223255 28705425 86116275