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56430660 = 223511136577
BaseRepresentation
bin1101011101000…
…1000001000100
310221011222022110
43113101001010
5103421240120
65333301020
71253436606
oct327210104
9127158273
1056430660
1129943210
1216a94770
13b8ca430
1476cd176
154e4a2e0
hex35d1044

56430660 has 96 divisors (see below), whose sum is σ = 185657472. Its totient is φ = 12625920.

The previous prime is 56430659. The next prime is 56430709. The reversal of 56430660 is 6603465.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5292 + ... + 11868.

It is an arithmetic number, because the mean of its divisors is an integer number (1933932).

Almost surely, 256430660 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 56430660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92828736).

56430660 is an abundant number, since it is smaller than the sum of its proper divisors (129226812).

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

56430660 is a wasteful number, since it uses less digits than its factorization.

56430660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 56430660 is about 7512.0343449694. The cubic root of 56430660 is about 383.5644747556.

The spelling of 56430660 in words is "fifty-six million, four hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 6577 8580 13154 19731 26308 32885 39462 65770 72347 78924 85501 98655 131540 144694 171002 197310 217041 256503 289388 342004 361735 394620 427505 434082 513006 723470 855010 868164 940511 1026012 1085205 1282515 1446940 1710020 1881022 2170410 2565030 2821533 3762044 4340820 4702555 5130060 5643066 9405110 11286132 14107665 18810220 28215330 56430660