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56760060 = 22357149907
BaseRepresentation
bin1101100010000…
…1011011111100
310221210201011110
43120201123330
5104012310220
65344322020
71256311140
oct330413374
9127721143
1056760060
112a048745
1217013310
13b9b4346
147777220
154eb2be0
hex36216fc

56760060 has 96 divisors (see below), whose sum is σ = 183052800. Its totient is φ = 12872448.

The previous prime is 56760037. The next prime is 56760061. The reversal of 56760060 is 6006765.

It is a super-2 number, since 2×567600602 = 6443408822407200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56760061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62127 + ... + 63033.

It is an arithmetic number, because the mean of its divisors is an integer number (1906800).

Almost surely, 256760060 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 56760060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91526400).

56760060 is an abundant number, since it is smaller than the sum of its proper divisors (126292740).

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

56760060 is a wasteful number, since it uses less digits than its factorization.

56760060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 56760060 is about 7533.9272627229. The cubic root of 56760060 is about 384.3093481632.

The spelling of 56760060 in words is "fifty-six million, seven hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 149 210 298 420 447 596 745 894 907 1043 1490 1788 1814 2086 2235 2721 2980 3129 3628 4172 4470 4535 5215 5442 6258 6349 8940 9070 10430 10884 12516 12698 13605 15645 18140 19047 20860 25396 27210 31290 31745 38094 54420 62580 63490 76188 95235 126980 135143 190470 270286 380940 405429 540572 675715 810858 946001 1351430 1621716 1892002 2027145 2702860 2838003 3784004 4054290 4730005 5676006 8108580 9460010 11352012 14190015 18920020 28380030 56760060