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86981520 = 24351721319
BaseRepresentation
bin1010010111100…
…11101110010000
320001200010012210
411023303232100
5134231402040
612344152120
72104221303
oct513635620
9201603183
1086981520
114510a55a
1225168640
1315036072
14b7a2b3a
157982480
hex52f3b90

86981520 has 80 divisors (see below), whose sum is σ = 285517440. Its totient is φ = 21829632.

The previous prime is 86981519. The next prime is 86981551. The reversal of 86981520 is 2518968.

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

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, 6580 + ... + 14739.

It is an arithmetic number, because the mean of its divisors is an integer number (3568968).

Almost surely, 286981520 is an apocalyptic number.

86981520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86981520 is an abundant number, since it is smaller than the sum of its proper divisors (198535920).

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

86981520 is a wasteful number, since it uses less digits than its factorization.

86981520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21352 (or 21346 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 86981520 is about 9326.3883684951. The cubic root of 86981520 is about 443.0733860933.

The spelling of 86981520 in words is "eighty-six million, nine hundred eighty-one thousand, five hundred twenty".

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 21319 42638 63957 85276 106595 127914 170552 213190 255828 319785 341104 362423 426380 511656 639570 724846 852760 1023312 1087269 1279140 1449692 1705520 1812115 2174538 2558280 2899384 3624230 4349076 5116560 5436345 5798768 7248460 8698152 10872690 14496920 17396304 21745380 28993840 43490760 86981520