Search a number
-
+
56724120 = 23325198293
BaseRepresentation
bin1101100001100…
…0101010011000
310221201212212100
43120120222120
5104010132440
65343443400
71256101305
oct330305230
9127655770
1056724120
112a023742
1216bb6560
13b9a0b8b
1477680ac
154ea7230
hex3618a98

56724120 has 96 divisors (see below), whose sum is σ = 194079600. Its totient is φ = 14328576.

The previous prime is 56724119. The next prime is 56724149. The reversal of 56724120 is 2142765.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2694 + ... + 10986.

Almost surely, 256724120 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 56724120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97039800).

56724120 is an abundant number, since it is smaller than the sum of its proper divisors (137355480).

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

56724120 is a wasteful number, since it uses less digits than its factorization.

56724120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 56724120 is about 7531.5416748498. The cubic root of 56724120 is about 384.2282172047.

Adding to 56724120 its reverse (2142765), we get a palindrome (58866885).

The spelling of 56724120 in words is "fifty-six million, seven hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 8293 16586 24879 33172 41465 49758 66344 74637 82930 99516 124395 149274 157567 165860 199032 248790 298548 315134 331720 373185 472701 497580 597096 630268 746370 787835 945402 995160 1260536 1418103 1492740 1575670 1890804 2363505 2836206 2985480 3151340 3781608 4727010 5672412 6302680 7090515 9454020 11344824 14181030 18908040 28362060 56724120