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8725684320 = 253256059503
BaseRepresentation
bin10000010000001011…
…10110000001100000
3211112002220200122100
420020011312001200
5120332233344240
64001501410400
7426142043613
oct101005660140
924462820570
108725684320
11377846a861
121836269a00
13a909a6022
145cac0a17a
15361092e30
hex208176060

8725684320 has 72 divisors (see below), whose sum is σ = 29776402656. Its totient is φ = 2326848768.

The previous prime is 8725684307. The next prime is 8725684349. The reversal of 8725684320 is 234865278.

8725684320 is a `hidden beast` number, since 87 + 2 + 568 + 4 + 3 + 2 + 0 = 666.

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

It is a super-2 number, since 2×87256843202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3028312 + ... + 3031191.

It is an arithmetic number, because the mean of its divisors is an integer number (413561148).

Almost surely, 28725684320 is an apocalyptic number.

8725684320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8725684320 is an abundant number, since it is smaller than the sum of its proper divisors (21050718336).

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

8725684320 is a wasteful number, since it uses less digits than its factorization.

8725684320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059524 (or 6059513 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8725684320 is about 93411.3714705014. The cubic root of 8725684320 is about 2058.7320817991.

The spelling of 8725684320 in words is "eight billion, seven hundred twenty-five million, six hundred eighty-four thousand, three hundred twenty".

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 6059503 12119006 18178509 24238012 30297515 36357018 48476024 54535527 60595030 72714036 90892545 96952048 109071054 121190060 145428072 181785090 193904096 218142108 242380120 272677635 290856144 363570180 436284216 484760240 545355270 581712288 727140360 872568432 969520480 1090710540 1454280720 1745136864 2181421080 2908561440 4362842160 8725684320