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130082256 = 24325961251
BaseRepresentation
bin1111100000011…
…10010111010000
3100001202212022100
413300032113100
5231300113011
620524040400
73136452363
oct760162720
9301685270
10130082256
11674787a7
1237693100
1320c47065
14133c20da
15b647d56
hex7c0e5d0

130082256 has 120 divisors (see below), whose sum is σ = 377788320. Its totient is φ = 41760000.

The previous prime is 130082237. The next prime is 130082279. The reversal of 130082256 is 652280031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518131 + ... + 518381.

It is an arithmetic number, because the mean of its divisors is an integer number (3148236).

Almost surely, 2130082256 is an apocalyptic number.

130082256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130082256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

130082256 is an abundant number, since it is smaller than the sum of its proper divisors (247706064).

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

130082256 is a wasteful number, since it uses less digits than its factorization.

130082256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130082256 is about 11405.3608447957. The cubic root of 130082256 is about 506.6865235369.

The spelling of 130082256 in words is "one hundred thirty million, eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 61 72 118 122 144 177 183 236 244 251 354 366 472 488 502 531 549 708 732 753 944 976 1004 1062 1098 1416 1464 1506 2008 2124 2196 2259 2832 2928 3012 3599 4016 4248 4392 4518 6024 7198 8496 8784 9036 10797 12048 14396 14809 15311 18072 21594 28792 29618 30622 32391 36144 43188 44427 45933 57584 59236 61244 64782 86376 88854 91866 118472 122488 129564 133281 137799 172752 177708 183732 236944 244976 259128 266562 275598 355416 367464 518256 533124 551196 710832 734928 903349 1066248 1102392 1806698 2132496 2204784 2710047 3613396 5420094 7226792 8130141 10840188 14453584 16260282 21680376 32520564 43360752 65041128 130082256