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130718016 = 26331113232
BaseRepresentation
bin1111100101010…
…01100101000000
3100002222011102000
413302221211000
5231430434031
620545424000
73145041042
oct762514500
9302864360
10130718016
1167872420
123793b000
132110a550
1413509a92
15b7213e6
hex7ca9940

130718016 has 336 divisors, whose sum is σ = 471952320. Its totient is φ = 34974720.

The previous prime is 130717997. The next prime is 130718017. The reversal of 130718016 is 610817031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130718017) 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, 5683381 + ... + 5683403.

It is an arithmetic number, because the mean of its divisors is an integer number (1404620).

Almost surely, 2130718016 is an apocalyptic number.

130718016 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 130718016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235976160).

130718016 is an abundant number, since it is smaller than the sum of its proper divisors (341234304).

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

130718016 is a wasteful number, since it uses less digits than its factorization.

130718016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 130718016 is about 11433.1979778188. The cubic root of 130718016 is about 507.5106370974.

The spelling of 130718016 in words is "one hundred thirty million, seven hundred eighteen thousand, sixteen".