Search a number
-
+
86116560 = 24351721107
BaseRepresentation
bin1010010001000…
…00100011010000
320000001011201020
411020200203100
5134021212220
612313435440
72063656455
oct510404320
9200034636
1086116560
1144679712
1224a0bb80
1314ac245a
14b61982c
157861040
hex52208d0

86116560 has 80 divisors (see below), whose sum is σ = 282678336. Its totient is φ = 21612544.

The previous prime is 86116559. The next prime is 86116603. The reversal of 86116560 is 6561168.

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

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, 6474 + ... + 14633.

Almost surely, 286116560 is an apocalyptic number.

86116560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86116560 is an abundant number, since it is smaller than the sum of its proper divisors (196561776).

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

86116560 is a wasteful number, since it uses less digits than its factorization.

86116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21140 (or 21134 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 86116560 is about 9279.9008615394. The cubic root of 86116560 is about 441.5998234351.

The spelling of 86116560 in words is "eighty-six million, one hundred sixteen thousand, five hundred sixty".

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 21107 42214 63321 84428 105535 126642 168856 211070 253284 316605 337712 358819 422140 506568 633210 717638 844280 1013136 1076457 1266420 1435276 1688560 1794095 2152914 2532840 2870552 3588190 4305828 5065680 5382285 5741104 7176380 8611656 10764570 14352760 17223312 21529140 28705520 43058280 86116560