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657996920 = 235715231543
BaseRepresentation
bin100111001110000…
…011110001111000
31200212010201002022
4213032003301320
52321421400140
6145143054012
722206611240
oct4716036170
91625121068
10657996920
11308470909
12164441308
13a6423bb9
1463562b20
153cb770b5
hex27383c78

657996920 has 64 divisors (see below), whose sum is σ = 1694200320. Its totient is φ = 225304704.

The previous prime is 657996919. The next prime is 657996953. The reversal of 657996920 is 29699756.

657996920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 425669 + ... + 427211.

It is an arithmetic number, because the mean of its divisors is an integer number (26471880).

Almost surely, 2657996920 is an apocalyptic number.

It is an amenable number.

657996920 is an abundant number, since it is smaller than the sum of its proper divisors (1036203400).

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

657996920 is a wasteful number, since it uses less digits than its factorization.

657996920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 53.

The square root of 657996920 is about 25651.4506412405. The cubic root of 657996920 is about 869.7770688768. Note that the first 3 decimals are identical.

The spelling of 657996920 in words is "six hundred fifty-seven million, nine hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1523 1543 3046 3086 6092 6172 7615 7715 10661 10801 12184 12344 15230 15430 21322 21602 30460 30860 42644 43204 53305 54005 60920 61720 85288 86408 106610 108010 213220 216020 426440 432040 2349989 4699978 9399956 11749945 16449923 18799912 23499890 32899846 46999780 65799692 82249615 93999560 131599384 164499230 328998460 657996920