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130906048 = 267213319
BaseRepresentation
bin1111100110101…
…11011111000000
3100010022201100011
413303113133000
5232002443143
620553434304
73146453200
oct763273700
9303281304
10130906048
1167990719
1237a0b994
1321175000
1413558400
15b75be9d
hex7cd77c0

130906048 has 168 divisors, whose sum is σ = 344576400. Its totient is φ = 49061376.

The previous prime is 130906033. The next prime is 130906051. The reversal of 130906048 is 840609031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6889783 + ... + 6889801.

It is an arithmetic number, because the mean of its divisors is an integer number (2051050).

Almost surely, 2130906048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172288200).

130906048 is an abundant number, since it is smaller than the sum of its proper divisors (213670352).

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

130906048 is an equidigital number, since it uses as much as digits as its factorization.

130906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 130906048 is about 11441.4180939252. The cubic root of 130906048 is about 507.7538642698.

The spelling of 130906048 in words is "one hundred thirty million, nine hundred six thousand, forty-eight".