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56701890 = 23357191579
BaseRepresentation
bin1101100001001…
…1001111000010
310221200202101000
43120103033002
5104003430030
65343152430
71255646430
oct330231702
9127622330
1056701890
112a008a73
1216ba5716
13b993a1b
14775dd50
154ea0860
hex36133c2

56701890 has 128 divisors (see below), whose sum is σ = 182016000. Its totient is φ = 12270528.

The previous prime is 56701889. The next prime is 56701903. The reversal of 56701890 is 9810765.

56701890 is a `hidden beast` number, since 567 + 0 + 1 + 8 + 90 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35121 + ... + 36699.

It is an arithmetic number, because the mean of its divisors is an integer number (1422000).

Almost surely, 256701890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56701890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91008000).

56701890 is an abundant number, since it is smaller than the sum of its proper divisors (125314110).

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

56701890 is a wasteful number, since it uses less digits than its factorization.

56701890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 56701890 is about 7530.0657367649. The cubic root of 56701890 is about 384.1780180460.

The spelling of 56701890 in words is "fifty-six million, seven hundred one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1579 1710 1890 1995 2394 2565 3158 3591 3990 4737 5130 5985 7182 7895 9474 11053 11970 14211 15790 17955 22106 23685 28422 30001 33159 35910 42633 47370 55265 60002 66318 71055 85266 90003 99477 110530 142110 150005 165795 180006 198954 210007 213165 270009 298431 300010 331590 420014 426330 450015 497385 540018 596862 630021 810027 900030 994770 1050035 1260042 1350045 1492155 1620054 1890063 2100070 2700090 2984310 3150105 3780126 4050135 5670189 6300210 8100270 9450315 11340378 18900630 28350945 56701890