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56900880 = 243552927
BaseRepresentation
bin1101100100001…
…1110100010000
310222001212100000
43121003310100
5104031312010
65351330000
71260435531
oct331036420
9128055300
1056900880
112a134523
1217080900
13ba3347a
1477b2688
154ede7c0
hex3643d10

56900880 has 120 divisors (see below), whose sum is σ = 198237312. Its totient is φ = 15168384.

The previous prime is 56900867. The next prime is 56900897. The reversal of 56900880 is 8800965.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17977 + ... + 20903.

Almost surely, 256900880 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 56900880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99118656).

56900880 is an abundant number, since it is smaller than the sum of its proper divisors (141336432).

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

56900880 is a wasteful number, since it uses less digits than its factorization.

56900880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 56900880 is about 7543.2671966463. The cubic root of 56900880 is about 384.6269056651.

The spelling of 56900880 in words is "fifty-six million, nine hundred thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 2927 3240 3888 4860 5854 6480 8781 9720 11708 14635 17562 19440 23416 26343 29270 35124 43905 46832 52686 58540 70248 79029 87810 105372 117080 131715 140496 158058 175620 210744 234160 237087 263430 316116 351240 395145 421488 474174 526860 632232 702480 711261 790290 948348 1053720 1185435 1264464 1422522 1580580 1896696 2107440 2370870 2845044 3161160 3556305 3793392 4741740 5690088 6322320 7112610 9483480 11380176 14225220 18966960 28450440 56900880