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130269824 = 271099337
BaseRepresentation
bin1111100001111…
…00001010000000
3100002010101121022
413300330022000
5231322113244
620532045012
73141163256
oct760741200
9302111538
10130269824
1167596713
1237763768
1320cb1549
14134305d6
15b6836ee
hex7c3c280

130269824 has 32 divisors (see below), whose sum is σ = 261930900. Its totient is φ = 64530432.

The previous prime is 130269823. The next prime is 130269829. The reversal of 130269824 is 428962031.

It can be written as a sum of positive squares in 2 ways, for example, as 112360000 + 17909824 = 10600^2 + 4232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (130269823) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9284 + ... + 18620.

Almost surely, 2130269824 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 130269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130965450).

130269824 is an abundant number, since it is smaller than the sum of its proper divisors (131661076).

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

130269824 is an equidigital number, since it uses as much as digits as its factorization.

130269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 130269824 is about 11413.5806826780. The cubic root of 130269824 is about 506.9299401213.

The spelling of 130269824 in words is "one hundred thirty million, two hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 9337 13952 18674 37348 74696 149392 298784 597568 1017733 1195136 2035466 4070932 8141864 16283728 32567456 65134912 130269824