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130162500 = 2232551389
BaseRepresentation
bin1111100001000…
…01111101000100
3100001220221101100
413300201331010
5231310200000
620525500100
73140235336
oct760417504
9301827340
10130162500
1167523016
1237711630
1320c74740
1413403456
15b661a00
hex7c21f44

130162500 has 216 divisors, whose sum is σ = 447861960. Its totient is φ = 31680000.

The previous prime is 130162499. The next prime is 130162547. The reversal of 130162500 is 5261031.

130162500 is a `hidden beast` number, since 1 + 3 + 0 + 162 + 500 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 117029124 + 13133376 = 10818^2 + 3624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1462456 + ... + 1462544.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2130162500 is an apocalyptic number.

130162500 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 130162500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223930980).

130162500 is an abundant number, since it is smaller than the sum of its proper divisors (317699460).

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

130162500 is a wasteful number, since it uses less digits than its factorization.

130162500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130162500 is about 11408.8781218839. The cubic root of 130162500 is about 506.7906888990.

The spelling of 130162500 in words is "one hundred thirty million, one hundred sixty-two thousand, five hundred".