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56315640 = 2335895273
BaseRepresentation
bin1101011011010…
…0111011111000
310220222010112110
43112310323320
5103404100030
65331012320
71252450353
oct326647370
9126863473
1056315640
1129874857
1216a3a0a0
13b889c84
14769d29a
154e261b0
hex35b4ef8

56315640 has 64 divisors (see below), whose sum is σ = 170877600. Its totient is φ = 14845952.

The previous prime is 56315621. The next prime is 56315647. The reversal of 56315640 is 4651365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56315598 and 56315607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56315647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8044 + ... + 13316.

Almost surely, 256315640 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 56315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85438800).

56315640 is an abundant number, since it is smaller than the sum of its proper divisors (114561960).

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

56315640 is a wasteful number, since it uses less digits than its factorization.

56315640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56315640 is about 7504.3747241193. The cubic root of 56315640 is about 383.3036969317.

The spelling of 56315640 in words is "fifty-six million, three hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5273 5340 10546 10680 15819 21092 26365 31638 42184 52730 63276 79095 105460 126552 158190 210920 316380 469297 632760 938594 1407891 1877188 2346485 2815782 3754376 4692970 5631564 7039455 9385940 11263128 14078910 18771880 28157820 56315640