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130896360 = 233257127409
BaseRepresentation
bin1111100110101…
…01000111101000
3100010022020001100
413303111013220
5232002140420
620553321400
73146413020
oct763250750
9303266040
10130896360
1167984411
1237a06260
132117078a
1413554a80
15b759190
hex7cd51e8

130896360 has 192 divisors, whose sum is σ = 491212800. Its totient is φ = 29611008.

The previous prime is 130896329. The next prime is 130896383. The reversal of 130896360 is 63698031.

It is a happy number.

130896360 is a `hidden beast` number, since 13 + 0 + 8 + 9 + 636 + 0 = 666.

It is a super-2 number, since 2×1308963602 = 34267714122499200, which contains 22 as substring.

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, 319836 + ... + 320244.

It is an arithmetic number, because the mean of its divisors is an integer number (2558400).

Almost surely, 2130896360 is an apocalyptic number.

130896360 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 130896360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245606400).

130896360 is an abundant number, since it is smaller than the sum of its proper divisors (360316440).

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

130896360 is a wasteful number, since it uses less digits than its factorization.

130896360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 130896360 is about 11440.9947119995. The cubic root of 130896360 is about 507.7413381340.

The spelling of 130896360 in words is "one hundred thirty million, eight hundred ninety-six thousand, three hundred sixty".