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130803630 = 23529251599
BaseRepresentation
bin1111100101111…
…10011110101110
3100010010111211220
413302332132232
5231441204010
620551324210
73145545456
oct762763656
9303114756
10130803630
1167920781
1237980666
132113a4c9
141352cd66
15b73b970
hex7cbe7ae

130803630 has 64 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 33488000.

The previous prime is 130803623. The next prime is 130803643. The reversal of 130803630 is 36308031.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130803630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218071 + ... + 218669.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2130803630 is an apocalyptic number.

130803630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130803630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

130803630 is an abundant number, since it is smaller than the sum of its proper divisors (195788370).

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

130803630 is a wasteful number, since it uses less digits than its factorization.

130803630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130803630 is about 11436.9414617720. The cubic root of 130803630 is about 507.6214112522.

The spelling of 130803630 in words is "one hundred thirty million, eight hundred three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 251 290 435 502 599 753 870 1198 1255 1506 1797 2510 2995 3594 3765 5990 7279 7530 8985 14558 17371 17970 21837 34742 36395 43674 52113 72790 86855 104226 109185 150349 173710 218370 260565 300698 451047 521130 751745 902094 1503490 2255235 4360121 4510470 8720242 13080363 21800605 26160726 43601210 65401815 130803630