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130850720 = 255711131943
BaseRepresentation
bin1111100110010…
…01111110100000
3100010012220102222
413303021332200
5231444210340
620552330212
73146132660
oct763117640
9303186388
10130850720
11679530a0
12379a3968
1321155a80
14135421a0
15b74a8b5
hex7cc9fa0

130850720 has 384 divisors, whose sum is σ = 447068160. Its totient is φ = 34836480.

The previous prime is 130850689. The next prime is 130850729. The reversal of 130850720 is 27058031.

It is a Cunningham number, because it is equal to 114392-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 130850720.

It is not an unprimeable number, because it can be changed into a prime (130850729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3043019 + ... + 3043061.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 2130850720 is an apocalyptic number.

130850720 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 130850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

130850720 is an abundant number, since it is smaller than the sum of its proper divisors (316217440).

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

130850720 is a wasteful number, since it uses less digits than its factorization.

130850720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 130850720 is about 11438.9999562899. Note that the first 4 decimals coincide. The cubic root of 130850720 is about 507.6823194098.

The spelling of 130850720 in words is "one hundred thirty million, eight hundred fifty thousand, seven hundred twenty".