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130820520 = 23355471993
BaseRepresentation
bin1111100110000…
…10100110101000
3100010011101000110
413303002212220
5231442224040
620551534320
73145645635
oct763024650
9303141013
10130820520
1167932436
123798a3a0
13211450bc
141353518c
15b741980
hex7cc29a8

130820520 has 64 divisors (see below), whose sum is σ = 393376320. Its totient is φ = 34804224.

The previous prime is 130820519. The next prime is 130820561. The reversal of 130820520 is 25028031.

It is a super-2 number, since 2×1308205202 = 34228016906140800, which contains 22 as substring.

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, 64644 + ... + 66636.

It is an arithmetic number, because the mean of its divisors is an integer number (6146505).

Almost surely, 2130820520 is an apocalyptic number.

130820520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130820520 is an abundant number, since it is smaller than the sum of its proper divisors (262555800).

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

130820520 is a wasteful number, since it uses less digits than its factorization.

130820520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 130820520 is about 11437.6798346518. The cubic root of 130820520 is about 507.6432591593.

Adding to 130820520 its reverse (25028031), we get a palindrome (155848551).

The spelling of 130820520 in words is "one hundred thirty million, eight hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 547 1094 1641 1993 2188 2735 3282 3986 4376 5470 5979 6564 7972 8205 9965 10940 11958 13128 15944 16410 19930 21880 23916 29895 32820 39860 47832 59790 65640 79720 119580 239160 1090171 2180342 3270513 4360684 5450855 6541026 8721368 10901710 13082052 16352565 21803420 26164104 32705130 43606840 65410260 130820520