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86488680 = 23354117579
BaseRepresentation
bin1010010011110…
…11011001101000
320000202002011110
411021323121220
5134120114210
612325430320
72100066405
oct511733150
9200662143
1086488680
1144903253
1224b6b3a0
1314bc2945
14b6b52ac
1578d6420
hex527b668

86488680 has 64 divisors (see below), whose sum is σ = 265809600. Its totient is φ = 22499840.

The previous prime is 86488607. The next prime is 86488693. The reversal of 86488680 is 8688468.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 3870 + ... + 13709.

It is an arithmetic number, because the mean of its divisors is an integer number (4153275).

Almost surely, 286488680 is an apocalyptic number.

It is an amenable number.

86488680 is an abundant number, since it is smaller than the sum of its proper divisors (179320920).

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

86488680 is a wasteful number, since it uses less digits than its factorization.

86488680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17634 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 86488680 is about 9299.9290319873. The cubic root of 86488680 is about 442.2349780791.

The spelling of 86488680 in words is "eighty-six million, four hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 17579 35158 52737 70316 87895 105474 140632 175790 210948 263685 351580 421896 527370 703160 720739 1054740 1441478 2109480 2162217 2882956 3603695 4324434 5765912 7207390 8648868 10811085 14414780 17297736 21622170 28829560 43244340 86488680