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56130312 = 23372941281
BaseRepresentation
bin1101011000011…
…1101100001000
310220121201022110
43112013230020
5103332132222
65323022320
71251046140
oct326075410
9126551273
1056130312
1129758597
121696a9a0
13b823804
147651920
154ddb30c
hex3587b08

56130312 has 128 divisors (see below), whose sum is σ = 170553600. Its totient is φ = 15052800.

The previous prime is 56130293. The next prime is 56130323. The reversal of 56130312 is 21303165.

It is a super-2 number, since 2×561303122 = 6301223850434688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 199612 + ... + 199892.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 256130312 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 56130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85276800).

56130312 is an abundant number, since it is smaller than the sum of its proper divisors (114423288).

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

56130312 is a wasteful number, since it uses less digits than its factorization.

56130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 56130312 is about 7492.0165509694. The cubic root of 56130312 is about 382.8827660561.

Adding to 56130312 its reverse (21303165), we get a palindrome (77433477).

The spelling of 56130312 in words is "fifty-six million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 41 42 56 58 82 84 87 116 123 164 168 174 203 232 246 281 287 328 348 406 492 562 574 609 696 812 843 861 984 1124 1148 1189 1218 1624 1686 1722 1967 2248 2296 2378 2436 3372 3444 3567 3934 4756 4872 5901 6744 6888 7134 7868 8149 8323 9512 11521 11802 14268 15736 16298 16646 23042 23604 24447 24969 28536 32596 33292 34563 46084 47208 48894 49938 57043 65192 66584 69126 80647 92168 97788 99876 114086 138252 161294 171129 195576 199752 228172 241941 276504 322588 334109 342258 456344 483882 645176 668218 684516 967764 1002327 1336436 1369032 1935528 2004654 2338763 2672872 4009308 4677526 7016289 8018616 9355052 14032578 18710104 28065156 56130312