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55872720 = 2433525867
BaseRepresentation
bin1101010100100…
…0110011010000
310220010121222000
43111020303100
5103300411340
65313314000
71245624141
oct325106320
9126117860
1055872720
11295a2002
1216865900
13b7634a7
1475c5ac8
154d89d30
hex3548cd0

55872720 has 80 divisors (see below), whose sum is σ = 192457920. Its totient is φ = 14898816.

The previous prime is 55872697. The next prime is 55872721. The reversal of 55872720 is 2727855.

55872720 is a `hidden beast` number, since 5 + 587 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55872721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10774 + ... + 15093.

It is an arithmetic number, because the mean of its divisors is an integer number (2405724).

Almost surely, 255872720 is an apocalyptic number.

It is an amenable number.

55872720 is an abundant number, since it is smaller than the sum of its proper divisors (136585200).

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

55872720 is a wasteful number, since it uses less digits than its factorization.

55872720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25889 (or 25877 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 55872720 is about 7474.8056830930. The cubic root of 55872720 is about 382.2961620572.

The spelling of 55872720 in words is "fifty-five million, eight hundred seventy-two thousand, seven hundred twenty".

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 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 25867 51734 77601 103468 129335 155202 206936 232803 258670 310404 388005 413872 465606 517340 620808 698409 776010 931212 1034680 1164015 1241616 1396818 1552020 1862424 2069360 2328030 2793636 3104040 3492045 3724848 4656060 5587272 6208080 6984090 9312120 11174544 13968180 18624240 27936360 55872720