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55616120 = 2357307647
BaseRepresentation
bin1101010000101…
…0001001111000
310212122120222022
43110022021320
5103214203440
65304014012
71243505060
oct324121170
9125576868
1055616120
112943723a
1216761308
13b6a3761
14755a3a0
154d38cb5
hex350a278

55616120 has 64 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 18976896.

The previous prime is 55616107. The next prime is 55616123. The reversal of 55616120 is 2161655.

It is a self number, because there is not a number n which added to its sum of digits gives 55616120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55616123) 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, 85637 + ... + 86283.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 255616120 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 55616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

55616120 is an abundant number, since it is smaller than the sum of its proper divisors (88084360).

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

55616120 is a wasteful number, since it uses less digits than its factorization.

55616120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 55616120 is about 7457.6216047745. The cubic root of 55616120 is about 381.7100217928.

Adding to 55616120 its reverse (2161655), we get a palindrome (57777775).

The spelling of 55616120 in words is "fifty-five million, six hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 307 614 647 1228 1294 1535 2149 2456 2588 3070 3235 4298 4529 5176 6140 6470 8596 9058 10745 12280 12940 17192 18116 21490 22645 25880 36232 42980 45290 85960 90580 181160 198629 397258 794516 993145 1390403 1589032 1986290 2780806 3972580 5561612 6952015 7945160 11123224 13904030 27808060 55616120