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86413080 = 23351324261
BaseRepresentation
bin1010010011010…
…00111100011000
320000121020110110
411021220330120
5134110204310
612324044320
72066333115
oct511507430
9200536413
1086413080
1144861476
1224b336a0
1314b97400
14b69590c
1578bdd20
hex5268f18

86413080 has 96 divisors (see below), whose sum is σ = 280780560. Its totient is φ = 21265920.

The previous prime is 86413051. The next prime is 86413087. The reversal of 86413080 is 8031468.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86413087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18150 + ... + 22410.

Almost surely, 286413080 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 86413080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140390280).

86413080 is an abundant number, since it is smaller than the sum of its proper divisors (194367480).

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

86413080 is a wasteful number, since it uses less digits than its factorization.

86413080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86413080 is about 9295.8635962454. The cubic root of 86413080 is about 442.1060875686.

The spelling of 86413080 in words is "eighty-six million, four hundred thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 4261 5070 6760 8522 10140 12783 17044 20280 21305 25566 34088 42610 51132 55393 63915 85220 102264 110786 127830 166179 170440 221572 255660 276965 332358 443144 511320 553930 664716 720109 830895 1107860 1329432 1440218 1661790 2160327 2215720 2880436 3323580 3600545 4320654 5760872 6647160 7201090 8641308 10801635 14402180 17282616 21603270 28804360 43206540 86413080