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130636480 = 26513311013
BaseRepresentation
bin1111100100101…
…01101011000000
3100002211000120011
413302111223000
5231420331410
620543554304
73144251242
oct762255300
9302730504
10130636480
1167817137
12378bb994
13210ac3c0
14134c8092
15b70718a
hex7c95ac0

130636480 has 112 divisors (see below), whose sum is σ = 346155264. Its totient is φ = 46632960.

The previous prime is 130636477. The next prime is 130636523. The reversal of 130636480 is 84636031.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 15 ways as a sum of consecutive naturals, for example, 128454 + ... + 129466.

It is an arithmetic number, because the mean of its divisors is an integer number (3090672).

Almost surely, 2130636480 is an apocalyptic number.

130636480 is a gapful number since it is divisible by the number (10) 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 130636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

130636480 is an abundant number, since it is smaller than the sum of its proper divisors (215518784).

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

130636480 is a wasteful number, since it uses less digits than its factorization.

130636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 130636480 is about 11429.6316651063. The cubic root of 130636480 is about 507.4050944051.

The spelling of 130636480 in words is "one hundred thirty million, six hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1013 1040 1240 1612 1984 2015 2026 2080 2480 3224 4030 4052 4160 4960 5065 6448 8060 8104 9920 10130 12896 13169 16120 16208 20260 25792 26338 31403 32240 32416 40520 52676 62806 64480 64832 65845 81040 105352 125612 128960 131690 157015 162080 210704 251224 263380 314030 324160 408239 421408 502448 526760 628060 816478 842816 1004896 1053520 1256120 1632956 2009792 2041195 2107040 2512240 3265912 4082390 4214080 5024480 6531824 8164780 10048960 13063648 16329560 26127296 32659120 65318240 130636480