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86035680 = 2532559747
BaseRepresentation
bin1010010000011…
…00110011100000
312222220001202200
411020030303200
5134011120210
612312013200
72063201613
oct510146340
9188801680
1086035680
1144623975
1224991200
1314a946b3
14b5d817a
1578470c0
hex520cce0

86035680 has 72 divisors (see below), whose sum is σ = 293601672. Its totient is φ = 22942464.

The previous prime is 86035643. The next prime is 86035699. The reversal of 86035680 is 8653068.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28434 + ... + 31313.

It is an arithmetic number, because the mean of its divisors is an integer number (4077801).

Almost surely, 286035680 is an apocalyptic number.

86035680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86035680 is an abundant number, since it is smaller than the sum of its proper divisors (207565992).

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

86035680 is a wasteful number, since it uses less digits than its factorization.

86035680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59768 (or 59757 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86035680 is about 9275.5420326793. The cubic root of 86035680 is about 441.4615310976.

The spelling of 86035680 in words is "eighty-six million, thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 59747 119494 179241 238988 298735 358482 477976 537723 597470 716964 896205 955952 1075446 1194940 1433928 1792410 1911904 2150892 2389880 2688615 2867856 3584820 4301784 4779760 5377230 5735712 7169640 8603568 9559520 10754460 14339280 17207136 21508920 28678560 43017840 86035680