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130375872 = 263311193
BaseRepresentation
bin1111100010101…
…10000011000000
3100002022210002000
413301112003000
5231334011442
620534224000
73142114404
oct761260300
9302283060
10130375872
1167659360
12377b5000
132101a8b3
141345b104
15b6a4d4c
hex7c560c0

130375872 has 224 divisors, whose sum is σ = 441350400. Its totient is φ = 37428480.

The previous prime is 130375837. The next prime is 130375879. The reversal of 130375872 is 278573031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130375879) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6861879 + ... + 6861897.

Almost surely, 2130375872 is an apocalyptic number.

130375872 is a gapful number since it is divisible by the number (12) 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 130375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220675200).

130375872 is an abundant number, since it is smaller than the sum of its proper divisors (310974528).

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

130375872 is an equidigital number, since it uses as much as digits as its factorization.

130375872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 130375872 is about 11418.2254313006. The cubic root of 130375872 is about 507.0674606498.

The spelling of 130375872 in words is "one hundred thirty million, three hundred seventy-five thousand, eight hundred seventy-two".