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130478656 = 2671122983
BaseRepresentation
bin1111100011011…
…11001001000000
3100002112000001211
413301233021000
5231400304111
620540335504
73143023150
oct761571100
9302460054
10130478656
1167719600
1237844594
1321055609
1413486760
15b6c5521
hex7c6f240

130478656 has 168 divisors, whose sum is σ = 340522560. Its totient is φ = 48491520.

The previous prime is 130478653. The next prime is 130478669. The reversal of 130478656 is 656874031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130478651) 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 23 ways as a sum of consecutive naturals, for example, 1571991 + ... + 1572073.

It is an arithmetic number, because the mean of its divisors is an integer number (2026920).

Almost surely, 2130478656 is an apocalyptic number.

130478656 is a gapful number since it is divisible by the number (16) 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 130478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170261280).

130478656 is an abundant number, since it is smaller than the sum of its proper divisors (210043904).

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

130478656 is a wasteful number, since it uses less digits than its factorization.

130478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 130478656 is about 11422.7254190933. The cubic root of 130478656 is about 507.2006773535.

The spelling of 130478656 in words is "one hundred thirty million, four hundred seventy-eight thousand, six hundred fifty-six".