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86113080 = 23325251953
BaseRepresentation
bin1010010000111…
…11101100111000
320000000222221100
411020133230320
5134021104310
612313411400
72063643354
oct510375470
9200028840
1086113080
1144677039
1224a09b60
1314ac09b1
14b618464
15785eec0
hex521fb38

86113080 has 96 divisors (see below), whose sum is σ = 281277360. Its totient is φ = 22848000.

The previous prime is 86113061. The next prime is 86113091. The reversal of 86113080 is 8031168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89884 + ... + 90836.

Almost surely, 286113080 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 86113080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140638680).

86113080 is an abundant number, since it is smaller than the sum of its proper divisors (195164280).

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

86113080 is a wasteful number, since it uses less digits than its factorization.

86113080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 86113080 is about 9279.7133576420. The cubic root of 86113080 is about 441.5938749544.

The spelling of 86113080 in words is "eighty-six million, one hundred thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 251 360 502 753 953 1004 1255 1506 1906 2008 2259 2510 2859 3012 3765 3812 4518 4765 5020 5718 6024 7530 7624 8577 9036 9530 10040 11295 11436 14295 15060 17154 18072 19060 22590 22872 28590 30120 34308 38120 42885 45180 57180 68616 85770 90360 114360 171540 239203 343080 478406 717609 956812 1196015 1435218 1913624 2152827 2392030 2870436 3588045 4305654 4784060 5740872 7176090 8611308 9568120 10764135 14352180 17222616 21528270 28704360 43056540 86113080