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86074880 = 29533623
BaseRepresentation
bin1010010000101…
…10011000000000
312222222001112112
411020112120000
5134013344010
612312514452
72063424113
oct510263000
9188861475
1086074880
1144650371
12249aba28
1314aa94a8
14b60857a
157853a05
hex5216600

86074880 has 40 divisors (see below), whose sum is σ = 206384112. Its totient is φ = 34428928.

The previous prime is 86074873. The next prime is 86074897. The reversal of 86074880 is 8847068.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 14252 + ... + 19371.

Almost surely, 286074880 is an apocalyptic number.

86074880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86074880 is an abundant number, since it is smaller than the sum of its proper divisors (120309232).

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

86074880 is an equidigital number, since it uses as much as digits as its factorization.

86074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33646 (or 33630 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 86074880 is about 9277.6548760988. The cubic root of 86074880 is about 441.5285678760.

The spelling of 86074880 in words is "eighty-six million, seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 33623 67246 134492 168115 268984 336230 537968 672460 1075936 1344920 2151872 2689840 4303744 5379680 8607488 10759360 17214976 21518720 43037440 86074880