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130459680 = 253351323101
BaseRepresentation
bin1111100011010…
…10100000100000
3100002111001001000
413301222200200
5231344202210
620540112000
73142613631
oct761524040
9302431030
10130459680
116770631a
1237835600
1321049aa0
141347d888
15b6beac0
hex7c6a820

130459680 has 384 divisors, whose sum is σ = 518192640. Its totient is φ = 30412800.

The previous prime is 130459673. The next prime is 130459699. The reversal of 130459680 is 86954031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291630 + ... + 1291730.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2130459680 is an apocalyptic number.

130459680 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 130459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

130459680 is an abundant number, since it is smaller than the sum of its proper divisors (387732960).

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

130459680 is a wasteful number, since it uses less digits than its factorization.

130459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130459680 is about 11421.8947640048. The cubic root of 130459680 is about 507.1760881296.

The spelling of 130459680 in words is "one hundred thirty million, four hundred fifty-nine thousand, six hundred eighty".