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56661660 = 22335119539
BaseRepresentation
bin1101100000100…
…1011010011100
310221121201012000
43120021122130
5104001133120
65342242300
71255421226
oct330113234
9127551160
1056661660
1129a90820
1216b86390
13b97b613
14774d416
154e93990
hex360969c

56661660 has 96 divisors (see below), whose sum is σ = 192326400. Its totient is φ = 13734720.

The previous prime is 56661643. The next prime is 56661691. The reversal of 56661660 is 6616665.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171 + ... + 10709.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 256661660 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 56661660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96163200).

56661660 is an abundant number, since it is smaller than the sum of its proper divisors (135664740).

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

56661660 is a wasteful number, since it uses less digits than its factorization.

56661660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9568 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56661660 is about 7527.3939713556. The cubic root of 56661660 is about 384.0871384279.

It can be divided in two parts, 566 and 61660, that added together give a palindrome (62226).

The spelling of 56661660 in words is "fifty-six million, six hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 9539 19078 28617 38156 47695 57234 85851 95390 104929 114468 143085 171702 190780 209858 257553 286170 314787 343404 419716 429255 515106 524645 572340 629574 858510 944361 1030212 1049290 1259148 1287765 1573935 1717020 1888722 2098580 2575530 2833083 3147870 3777444 4721805 5151060 5666166 6295740 9443610 11332332 14165415 18887220 28330830 56661660