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86247960 = 23355371191
BaseRepresentation
bin1010010010000…
…00101000011000
320000021211221220
411021000220120
5134034413320
612320332040
72065044531
oct511005030
9200254856
1086247960
1144759407
1224a74020
1314b3a1c6
14b651688
157889e40
hex5240a18

86247960 has 128 divisors (see below), whose sum is σ = 268738560. Its totient is φ = 22131200.

The previous prime is 86247947. The next prime is 86247991. The reversal of 86247960 is 6974268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451465 + ... + 451655.

It is an arithmetic number, because the mean of its divisors is an integer number (2099520).

Almost surely, 286247960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86247960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134369280).

86247960 is an abundant number, since it is smaller than the sum of its proper divisors (182490600).

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

86247960 is a wasteful number, since it uses less digits than its factorization.

86247960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 86247960 is about 9286.9779799459. The cubic root of 86247960 is about 441.8243126968.

The spelling of 86247960 in words is "eighty-six million, two hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 71 106 120 142 159 191 212 213 265 284 318 355 382 424 426 530 568 573 636 710 764 795 852 955 1060 1065 1146 1272 1420 1528 1590 1704 1910 2120 2130 2292 2840 2865 3180 3763 3820 4260 4584 5730 6360 7526 7640 8520 10123 11289 11460 13561 15052 18815 20246 22578 22920 27122 30104 30369 37630 40492 40683 45156 50615 54244 56445 60738 67805 75260 80984 81366 90312 101230 108488 112890 121476 135610 150520 151845 162732 202460 203415 225780 242952 271220 303690 325464 404920 406830 451560 542440 607380 718733 813660 1214760 1437466 1627320 2156199 2874932 3593665 4312398 5749864 7187330 8624796 10780995 14374660 17249592 21561990 28749320 43123980 86247960