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130717152 = 2534293747
BaseRepresentation
bin1111100101010…
…01010111100000
3100002222010020000
413302221113200
5231430422102
620545420000
73145035366
oct762512740
9302863200
10130717152
1167871805
123793a600
132110a037
1413509636
15b72101c
hex7ca95e0

130717152 has 240 divisors, whose sum is σ = 417130560. Its totient is φ = 40061952.

The previous prime is 130717141. The next prime is 130717159. The reversal of 130717152 is 251717031.

It is a happy number.

It is a super-2 number, since 2×1307171522 = 34173947653982208, which contains 22 as substring.

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 (130717159) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2781193 + ... + 2781239.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2130717152 is an apocalyptic number.

130717152 is a gapful number since it is divisible by the number (12) 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 130717152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

130717152 is an abundant number, since it is smaller than the sum of its proper divisors (286413408).

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

130717152 is a wasteful number, since it uses less digits than its factorization.

130717152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 130717152 is about 11433.1601930525. The cubic root of 130717152 is about 507.5095189394.

The spelling of 130717152 in words is "one hundred thirty million, seven hundred seventeen thousand, one hundred fifty-two".