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656431104 = 2113715263
BaseRepresentation
bin100111001000000…
…101100000000000
31200202012011012010
4213020011200000
52321021243404
6145045332520
722160400210
oct4710054000
91622164163
10656431104
113075a144a
12163a07140
13a5cc6294
1463276240
153c968189
hex27205800

656431104 has 96 divisors (see below), whose sum is σ = 2000194560. Its totient is φ = 187539456.

The previous prime is 656431103. The next prime is 656431117. The reversal of 656431104 is 401134656.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656431103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35377 + ... + 50639.

It is an arithmetic number, because the mean of its divisors is an integer number (20835360).

Almost surely, 2656431104 is an apocalyptic number.

656431104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000097280).

656431104 is an abundant number, since it is smaller than the sum of its proper divisors (1343763456).

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

656431104 is a wasteful number, since it uses less digits than its factorization.

656431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15295 (or 15275 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 656431104 is about 25620.9114591968. The cubic root of 656431104 is about 869.0865932126.

The spelling of 656431104 in words is "six hundred fifty-six million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 15263 21504 30526 43008 45789 61052 91578 106841 122104 183156 213682 244208 320523 366312 427364 488416 641046 732624 854728 976832 1282092 1465248 1709456 1953664 2564184 2930496 3418912 3907328 5128368 5860992 6837824 7814656 10256736 11721984 13675648 15629312 20513472 23443968 27351296 31258624 41026944 46887936 54702592 82053888 93775872 109405184 164107776 218810368 328215552 656431104