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56734080 = 2735132273
BaseRepresentation
bin1101100001101…
…1000110000000
310221202101112020
43120123012000
5104010442310
65344001440
71256142324
oct330330600
9127671466
1056734080
112a030177
1217000280
13b9a5580
14776b984
154eaa170
hex361b180

56734080 has 128 divisors (see below), whose sum is σ = 194836320. Its totient is φ = 13959168.

The previous prime is 56734003. The next prime is 56734081. The reversal of 56734080 is 8043765.

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 (56734081) 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, 23824 + ... + 26096.

Almost surely, 256734080 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 56734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97418160).

56734080 is an abundant number, since it is smaller than the sum of its proper divisors (138102240).

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

56734080 is a wasteful number, since it uses less digits than its factorization.

56734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 56734080 is about 7532.2028650322. The cubic root of 56734080 is about 384.2507043411.

The spelling of 56734080 in words is "fifty-six million, seven hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2273 2496 3120 4160 4546 4992 6240 6819 8320 9092 11365 12480 13638 18184 22730 24960 27276 29549 34095 36368 45460 54552 59098 68190 72736 88647 90920 109104 118196 136380 145472 147745 177294 181840 218208 236392 272760 290944 295490 354588 363680 436416 443235 472784 545520 590980 709176 727360 872832 886470 945568 1091040 1181960 1418352 1454720 1772940 1891136 2182080 2363920 2836704 3545880 3782272 4364160 4727840 5673408 7091760 9455680 11346816 14183520 18911360 28367040 56734080