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130796640 = 253351317137
BaseRepresentation
bin1111100101111…
…00110001100000
3100010010011021000
413302330301200
5231440443030
620551232000
73145516212
oct762746140
9303104230
10130796640
11679164a7
1237978600
1321137280
141352a5b2
15b739860
hex7cbcc60

130796640 has 384 divisors, whose sum is σ = 525813120. Its totient is φ = 30081024.

The previous prime is 130796639. The next prime is 130796671. The reversal of 130796640 is 46697031.

130796640 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 9 + 6 + 640 = 666.

It is a super-2 number, since 2×1307966402 = 34215522070579200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130796595 and 130796604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954652 + ... + 954788.

It is an arithmetic number, because the mean of its divisors is an integer number (1369305).

Almost surely, 2130796640 is an apocalyptic number.

130796640 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 130796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262906560).

130796640 is an abundant number, since it is smaller than the sum of its proper divisors (395016480).

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

130796640 is a wasteful number, since it uses less digits than its factorization.

130796640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130796640 is about 11436.6358689957. The cubic root of 130796640 is about 507.6123688506.

The spelling of 130796640 in words is "one hundred thirty million, seven hundred ninety-six thousand, six hundred forty".