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86404080 = 2435751431
BaseRepresentation
bin1010010011001…
…10101111110000
320000120210010010
411021212233300
5134104412310
612323534520
72066264640
oct511465760
9200523103
1086404080
1144855734
1224b2a440
1314b93299
14b692520
1578bb320
hex5266bf0

86404080 has 80 divisors (see below), whose sum is σ = 306123264. Its totient is φ = 19749120.

The previous prime is 86404061. The next prime is 86404093. The reversal of 86404080 is 8040468.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 24036 + ... + 27395.

Almost surely, 286404080 is an apocalyptic number.

86404080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86404080 is an abundant number, since it is smaller than the sum of its proper divisors (219719184).

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

86404080 is a wasteful number, since it uses less digits than its factorization.

86404080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51454 (or 51448 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 86404080 is about 9295.3794973632. The cubic root of 86404080 is about 442.0907384535.

It can be divided in two parts, 8640 and 4080, that added together give a triangular number (12720 = T159).

The spelling of 86404080 in words is "eighty-six million, four hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 51431 102862 154293 205724 257155 308586 360017 411448 514310 617172 720034 771465 822896 1028620 1080051 1234344 1440068 1542930 1800085 2057240 2160102 2468688 2880136 3085860 3600170 4114480 4320204 5400255 5760272 6171720 7200340 8640408 10800510 12343440 14400680 17280816 21601020 28801360 43202040 86404080