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130050000 = 243255172
BaseRepresentation
bin1111100000001…
…10011111010000
3100001201020001200
413300012133100
5231243100000
620523231200
73136256343
oct760063720
9301636050
10130050000
1167456543
1237678500
1320c35482
14133b445a
15b63d500
hex7c067d0

130050000 has 270 divisors, whose sum is σ = 483254226. Its totient is φ = 32640000.

The previous prime is 130049977. The next prime is 130050013. The reversal of 130050000 is 50031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 116122176 + 13927824 = 10776^2 + 3732^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 7649992 + ... + 7650008.

Almost surely, 2130050000 is an apocalyptic number.

130050000 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 130050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241627113).

130050000 is an abundant number, since it is smaller than the sum of its proper divisors (353204226).

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

130050000 is an equidigital number, since it uses as much as digits as its factorization.

130050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 130050000 is about 11403.9466852489. The cubic root of 130050000 is about 506.6446397011.

The spelling of 130050000 in words is "one hundred thirty million, fifty thousand".