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56760704 = 2771113443
BaseRepresentation
bin1101100010000…
…1100110000000
310221210202001022
43120201212000
5104012320304
65344325012
71256313050
oct330414600
9127722038
1056760704
112a049180
1217013768
13b9b4720
147777560
154eb2ebe
hex3621980

56760704 has 128 divisors (see below), whose sum is σ = 152167680. Its totient is φ = 20367360.

The previous prime is 56760703. The next prime is 56760709. The reversal of 56760704 is 40706765.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56760703) 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, 127907 + ... + 128349.

It is an arithmetic number, because the mean of its divisors is an integer number (1188810).

Almost surely, 256760704 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 56760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76083840).

56760704 is an abundant number, since it is smaller than the sum of its proper divisors (95406976).

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

56760704 is a wasteful number, since it uses less digits than its factorization.

56760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 56760704 is about 7533.9700025949. The cubic root of 56760704 is about 384.3108016165.

The spelling of 56760704 in words is "fifty-six million, seven hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 443 448 572 616 704 728 832 886 896 1001 1144 1232 1408 1456 1664 1772 2002 2288 2464 2912 3101 3544 4004 4576 4873 4928 5759 5824 6202 7088 8008 9152 9746 9856 11518 11648 12404 14176 16016 18304 19492 23036 24808 28352 32032 34111 38984 40313 46072 49616 56704 63349 64064 68222 77968 80626 92144 99232 126698 128128 136444 155936 161252 184288 198464 253396 272888 311872 322504 368576 396928 443443 506792 545776 623744 645008 737152 886886 1013584 1091552 1290016 1773772 2027168 2183104 2580032 3547544 4054336 4366208 5160064 7095088 8108672 14190176 28380352 56760704