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130092480 = 263557239
BaseRepresentation
bin1111100000100…
…00110111000000
3100001210101100000
413300100313000
5231300424410
620524200000
73136524240
oct760206700
9301711300
10130092480
1167485451
1237699000
1320c4b8cb
14133c5b20
15b64adc0
hex7c10dc0

130092480 has 336 divisors, whose sum is σ = 532546560. Its totient is φ = 29611008.

The previous prime is 130092437. The next prime is 130092491. The reversal of 130092480 is 84290031.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544201 + ... + 544439.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2130092480 is an apocalyptic number.

130092480 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 130092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

130092480 is an abundant number, since it is smaller than the sum of its proper divisors (402454080).

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

130092480 is an equidigital number, since it uses as much as digits as its factorization.

130092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130092480 is about 11405.8090462711. The cubic root of 130092480 is about 506.6997977719.

The spelling of 130092480 in words is "one hundred thirty million, ninety-two thousand, four hundred eighty".