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130690560 = 29357111317
BaseRepresentation
bin1111100101000…
…10111000000000
3100002220202202010
413302202320000
5231424044220
620545052520
73144565020
oct762427000
9302822663
10130690560
1167853830
1237927140
13210cabc0
14134dda80
15b7181e0
hex7ca2e00

130690560 has 640 divisors, whose sum is σ = 593961984. Its totient is φ = 23592960.

The previous prime is 130690523. The next prime is 130690561. The reversal of 130690560 is 65096031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1306905602 = 34160044946227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130690561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7687672 + ... + 7687688.

Almost surely, 2130690560 is an apocalyptic number.

130690560 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 130690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

130690560 is an abundant number, since it is smaller than the sum of its proper divisors (463271424).

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

130690560 is a wasteful number, since it uses less digits than its factorization.

130690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 130690560 is about 11431.9972008394. The cubic root of 130690560 is about 507.4751021136.

The spelling of 130690560 in words is "one hundred thirty million, six hundred ninety thousand, five hundred sixty".