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130317072 = 2436913929
BaseRepresentation
bin1111100010001…
…11101100010000
3100002012210102020
413301013230100
5231330121242
620533051440
73141451104
oct761075420
9302183366
10130317072
1167619166
1237786b80
1320cc9bc2
1413443904
15b6926ec
hex7c47b10

130317072 has 40 divisors (see below), whose sum is σ = 337225440. Its totient is φ = 43365120.

The previous prime is 130317059. The next prime is 130317073. The reversal of 130317072 is 270713031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130317073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31204 + ... + 35132.

It is an arithmetic number, because the mean of its divisors is an integer number (8430636).

Almost surely, 2130317072 is an apocalyptic number.

130317072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130317072 is an abundant number, since it is smaller than the sum of its proper divisors (206908368).

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

130317072 is a wasteful number, since it uses less digits than its factorization.

130317072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 130317072 is about 11415.6503099911. The cubic root of 130317072 is about 506.9912194209.

The spelling of 130317072 in words is "one hundred thirty million, three hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 691 1382 2073 2764 3929 4146 5528 7858 8292 11056 11787 15716 16584 23574 31432 33168 47148 62864 94296 188592 2714939 5429878 8144817 10859756 16289634 21719512 32579268 43439024 65158536 130317072