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130646048 = 2513509617
BaseRepresentation
bin1111100100110…
…00000000100000
3100002211111200112
413302120000200
5231421133143
620544110452
73144321161
oct762300040
9302744615
10130646048
1167823345
1237905428
13210b3870
14134cb768
15b709e18
hex7c98020

130646048 has 48 divisors (see below), whose sum is σ = 277988760. Its totient is φ = 60082176.

The previous prime is 130646023. The next prime is 130646051. The reversal of 130646048 is 840646031.

It can be written as a sum of positive squares in 4 ways, for example, as 73068304 + 57577744 = 8548^2 + 7588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211436 + ... + 212052.

Almost surely, 2130646048 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 130646048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138994380).

130646048 is an abundant number, since it is smaller than the sum of its proper divisors (147342712).

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

130646048 is a wasteful number, since it uses less digits than its factorization.

130646048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 130646048 is about 11430.0502186123. The cubic root of 130646048 is about 507.4174817908.

The spelling of 130646048 in words is "one hundred thirty million, six hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 509 617 1018 1234 2036 2468 4072 4936 6617 8021 8144 9872 13234 16042 16288 19744 26468 32084 52936 64168 105872 128336 211744 256672 314053 628106 1256212 2512424 4082689 5024848 8165378 10049696 16330756 32661512 65323024 130646048