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56100480 = 273561479
BaseRepresentation
bin1101011000000…
…0011010000000
310220120012101120
43112000122000
5103330203410
65322232240
71250563152
oct326003200
9126505346
1056100480
1129738137
1216955680
13b813067
147644ad2
154dd2570
hex3580680

56100480 has 128 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 14684160.

The previous prime is 56100479. The next prime is 56100481. The reversal of 56100480 is 8400165.

It is an interprime number because it is at equal distance from previous prime (56100479) and next prime (56100481).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56100480.

It is not an unprimeable number, because it can be changed into a prime (56100481) 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, 116881 + ... + 117359.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 256100480 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 56100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

56100480 is an abundant number, since it is smaller than the sum of its proper divisors (126030720).

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

56100480 is a wasteful number, since it uses less digits than its factorization.

56100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 56100480 is about 7490.0253671133. The cubic root of 56100480 is about 382.8149228390.

The spelling of 56100480 in words is "fifty-six million, one hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 305 320 366 384 479 480 488 610 640 732 915 958 960 976 1220 1437 1464 1830 1916 1920 1952 2395 2440 2874 2928 3660 3832 3904 4790 4880 5748 5856 7185 7320 7664 7808 9580 9760 11496 11712 14370 14640 15328 19160 19520 22992 23424 28740 29219 29280 30656 38320 39040 45984 57480 58438 58560 61312 76640 87657 91968 114960 116876 117120 146095 153280 175314 183936 229920 233752 292190 306560 350628 438285 459840 467504 584380 701256 876570 919680 935008 1168760 1402512 1753140 1870016 2337520 2805024 3506280 3740032 4675040 5610048 7012560 9350080 11220096 14025120 18700160 28050240 56100480