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130617520 = 24511148429
BaseRepresentation
bin1111100100100…
…01000010110000
3100002210001112221
413302101002300
5231414230040
620543330424
73144142045
oct762210260
9302701487
10130617520
1167803970
12378b0a14
13210a3897
14134c11cc
15b70174a
hex7c910b0

130617520 has 40 divisors (see below), whose sum is σ = 331295760. Its totient is φ = 47496960.

The previous prime is 130617497. The next prime is 130617541. The reversal of 130617520 is 25716031.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73335 + ... + 75094.

It is an arithmetic number, because the mean of its divisors is an integer number (8282394).

Almost surely, 2130617520 is an apocalyptic number.

130617520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130617520 is an abundant number, since it is smaller than the sum of its proper divisors (200678240).

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

130617520 is a wasteful number, since it uses less digits than its factorization.

130617520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148453 (or 148447 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 130617520 is about 11428.8022119555. The cubic root of 130617520 is about 507.3805457082.

The spelling of 130617520 in words is "one hundred thirty million, six hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 148429 296858 593716 742145 1187432 1484290 1632719 2374864 2968580 3265438 5937160 6530876 8163595 11874320 13061752 16327190 26123504 32654380 65308760 130617520