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130607064 = 233271923593
BaseRepresentation
bin1111100100011…
…10011111011000
3100002202112012200
413302032133120
5231413411224
620543210200
73144066420
oct762163730
9302675180
10130607064
11677a7025
12378a6960
132109bbb3
14134bb480
15b6ed5c9
hex7c8e7d8

130607064 has 192 divisors, whose sum is σ = 444787200. Its totient is φ = 33758208.

The previous prime is 130607063. The next prime is 130607111. The reversal of 130607064 is 460706031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130607063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219952 + ... + 220544.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2130607064 is an apocalyptic number.

130607064 is a gapful number since it is divisible by the number (14) 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 130607064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

130607064 is an abundant number, since it is smaller than the sum of its proper divisors (314180136).

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

130607064 is a wasteful number, since it uses less digits than its factorization.

130607064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130607064 is about 11428.3447620379. The cubic root of 130607064 is about 507.3670066552.

The spelling of 130607064 in words is "one hundred thirty million, six hundred seven thousand, sixty-four".