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655125680 = 245111794159
BaseRepresentation
bin100111000011000…
…110110010110000
31200122201211111002
4213003012302300
52320203010210
6145001341132
722143322256
oct4703066260
91618654432
10655125680
1130688a690
121634977a8
13a595a041
14630165d6
153c7ab4a5
hex270c6cb0

655125680 has 80 divisors (see below), whose sum is σ = 1671321600. Its totient is φ = 236839680.

The previous prime is 655125659. The next prime is 655125703. The reversal of 655125680 is 86521556.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155441 + ... + 159599.

It is an arithmetic number, because the mean of its divisors is an integer number (20891520).

Almost surely, 2655125680 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 655125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835660800).

655125680 is an abundant number, since it is smaller than the sum of its proper divisors (1016195920).

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

655125680 is a wasteful number, since it uses less digits than its factorization.

655125680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 655125680 is about 25595.4230283463. The cubic root of 655125680 is about 868.5101024544.

The spelling of 655125680 in words is "six hundred fifty-five million, one hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 179 220 358 440 716 880 895 1432 1790 1969 2864 3580 3938 4159 7160 7876 8318 9845 14320 15752 16636 19690 20795 31504 33272 39380 41590 45749 66544 78760 83180 91498 157520 166360 182996 228745 332720 365992 457490 731984 744461 914980 1488922 1829960 2977844 3659920 3722305 5955688 7444610 8189071 11911376 14889220 16378142 29778440 32756284 40945355 59556880 65512568 81890710 131025136 163781420 327562840 655125680