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130727520 = 25345711131
BaseRepresentation
bin1111100101010…
…11111001100000
3100002222122110000
413302223321200
5231431240040
620545540000
73145110540
oct762537140
9302878400
10130727520
1167879580
1237944600
1321111981
141350d320
15b724130
hex7cabe60

130727520 has 480 divisors, whose sum is σ = 579591936. Its totient is φ = 26956800.

The previous prime is 130727507. The next prime is 130727533. The reversal of 130727520 is 25727031.

130727520 is a `hidden beast` number, since 130 + 7 + 2 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (130727507) and next prime (130727533).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997855 + ... + 997985.

Almost surely, 2130727520 is an apocalyptic number.

130727520 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 130727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289795968).

130727520 is an abundant number, since it is smaller than the sum of its proper divisors (448864416).

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

130727520 is a wasteful number, since it uses less digits than its factorization.

130727520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 130727520 is about 11433.6136020070. The cubic root of 130727520 is about 507.5229365094.

The spelling of 130727520 in words is "one hundred thirty million, seven hundred twenty-seven thousand, five hundred twenty".