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56095680 = 263571823
BaseRepresentation
bin1101010111111…
…1001111000000
310220112221210210
43111333033000
5103330030210
65322154120
71250543154
oct325771700
9126487723
1056095680
1129734573
1216952940
13b810b14
147643064
154dd0e20
hex357f3c0

56095680 has 112 divisors (see below), whose sum is σ = 180831744. Its totient is φ = 14730240.

The previous prime is 56095649. The next prime is 56095681. The reversal of 56095680 is 8659065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56095681) 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, 67749 + ... + 68571.

Almost surely, 256095680 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 56095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90415872).

56095680 is an abundant number, since it is smaller than the sum of its proper divisors (124736064).

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

56095680 is a wasteful number, since it uses less digits than its factorization.

56095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 56095680 is about 7489.7049341079. The cubic root of 56095680 is about 382.8040045484.

The spelling of 56095680 in words is "fifty-six million, ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 823 852 960 1065 1136 1420 1646 1704 2130 2272 2469 2840 3292 3408 4115 4260 4544 4938 5680 6584 6816 8230 8520 9876 11360 12345 13168 13632 16460 17040 19752 22720 24690 26336 32920 34080 39504 49380 52672 58433 65840 68160 79008 98760 116866 131680 158016 175299 197520 233732 263360 292165 350598 395040 467464 584330 701196 790080 876495 934928 1168660 1402392 1752990 1869856 2337320 2804784 3505980 3739712 4674640 5609568 7011960 9349280 11219136 14023920 18698560 28047840 56095680