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130836048 = 2437439887
BaseRepresentation
bin1111100110001…
…10011001010000
3100010012011022120
413303012121100
5231443223143
620552134240
73146042130
oct763063120
9303164276
10130836048
1167943072
1237997380
132114c1a5
141353aac0
15b746383
hex7cc6650

130836048 has 80 divisors (see below), whose sum is σ = 387594240. Its totient is φ = 37254528.

The previous prime is 130836037. The next prime is 130836049. The reversal of 130836048 is 840638031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130836049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147061 + ... + 147947.

It is an arithmetic number, because the mean of its divisors is an integer number (4844928).

Almost surely, 2130836048 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 130836048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193797120).

130836048 is an abundant number, since it is smaller than the sum of its proper divisors (256758192).

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

130836048 is a wasteful number, since it uses less digits than its factorization.

130836048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 130836048 is about 11438.3586235089. The cubic root of 130836048 is about 507.6633436044.

The spelling of 130836048 in words is "one hundred thirty million, eight hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 439 878 887 1317 1756 1774 2634 2661 3073 3512 3548 5268 5322 6146 6209 7024 7096 9219 10536 10644 12292 12418 14192 18438 18627 21072 21288 24584 24836 36876 37254 42576 49168 49672 73752 74508 99344 147504 149016 298032 389393 778786 1168179 1557572 2336358 2725751 3115144 4672716 5451502 6230288 8177253 9345432 10903004 16354506 18690864 21806008 32709012 43612016 65418024 130836048