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130845960 = 233257137379
BaseRepresentation
bin1111100110010…
…00110100001000
3100010012122220200
413303020310020
5231444032320
620552252200
73146113050
oct763106410
9303178820
10130845960
116794a563
12379a1060
132115385b
1413540560
15b749290
hex7cc8d08

130845960 has 192 divisors, whose sum is σ = 490838400. Its totient is φ = 29611008.

The previous prime is 130845959. The next prime is 130845973. The reversal of 130845960 is 69548031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345051 + ... + 345429.

It is an arithmetic number, because the mean of its divisors is an integer number (2556450).

Almost surely, 2130845960 is an apocalyptic number.

130845960 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 130845960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245419200).

130845960 is an abundant number, since it is smaller than the sum of its proper divisors (359992440).

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

130845960 is a wasteful number, since it uses less digits than its factorization.

130845960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130845960 is about 11438.7918942518. The cubic root of 130845960 is about 507.6761632925.

It can be divided in two parts, 13084 and 5960, that added together give a square (19044 = 1382).

The spelling of 130845960 in words is "one hundred thirty million, eight hundred forty-five thousand, nine hundred sixty".