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130904640 = 26335109139
BaseRepresentation
bin1111100110101…
…11001001000000
3100010022122102000
413303113021000
5232002422030
620553424000
73146446116
oct763271100
9303278360
10130904640
116798a659
1237a0b000
1321174489
1413557ab6
15b75b860
hex7cd7240

130904640 has 224 divisors, whose sum is σ = 469392000. Its totient is φ = 34338816.

The previous prime is 130904621. The next prime is 130904651. The reversal of 130904640 is 46409031.

130904640 is a `hidden beast` number, since 13 + 0 + 9 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 941691 + ... + 941829.

It is an arithmetic number, because the mean of its divisors is an integer number (2095500).

Almost surely, 2130904640 is an apocalyptic number.

130904640 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 130904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234696000).

130904640 is an abundant number, since it is smaller than the sum of its proper divisors (338487360).

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

130904640 is a wasteful number, since it uses less digits than its factorization.

130904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130904640 is about 11441.3565629256. The cubic root of 130904640 is about 507.7520438293.

The spelling of 130904640 in words is "one hundred thirty million, nine hundred four thousand, six hundred forty".