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130579856 = 241117192297
BaseRepresentation
bin1111100100001…
…11110110010000
3100002201010212222
413302013312100
5231412023411
620542440212
73143624201
oct762076620
9302633788
10130579856
1167788640
1237893068
132108c6b4
14134b15a8
15b6e54db
hex7c87d90

130579856 has 80 divisors (see below), whose sum is σ = 307748160. Its totient is φ = 52899840.

The previous prime is 130579853. The next prime is 130579861. The reversal of 130579856 is 658975031.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (130579853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55700 + ... + 57996.

It is an arithmetic number, because the mean of its divisors is an integer number (3846852).

Almost surely, 2130579856 is an apocalyptic number.

130579856 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 130579856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153874080).

130579856 is an abundant number, since it is smaller than the sum of its proper divisors (177168304).

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

130579856 is a wasteful number, since it uses less digits than its factorization.

130579856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 130579856 is about 11427.1543264279. The cubic root of 130579856 is about 507.3317727259.

The spelling of 130579856 in words is "one hundred thirty million, five hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2297 2584 2992 3344 3553 4594 5168 7106 9188 14212 18376 25267 28424 36752 39049 43643 50534 56848 78098 87286 101068 156196 174572 202136 312392 349144 404272 429539 480073 624784 698288 741931 859078 960146 1483862 1718156 1920292 2967724 3436312 3840584 5935448 6872624 7681168 8161241 11870896 16322482 32644964 65289928 130579856