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130044384 = 25324310501
BaseRepresentation
bin1111100000001…
…01000111100000
3100001200221100200
413300011013200
5231242410014
620523145200
73136234101
oct760050740
9301627320
10130044384
11674522a8
1237675200
1320c32a52
14133b23a8
15b63ba09
hex7c051e0

130044384 has 72 divisors (see below), whose sum is σ = 378450072. Its totient is φ = 42336000.

The previous prime is 130044367. The next prime is 130044389. The reversal of 130044384 is 483440031.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130044389) 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 11 ways as a sum of consecutive naturals, for example, 7134 + ... + 17634.

It is an arithmetic number, because the mean of its divisors is an integer number (5256251).

Almost surely, 2130044384 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 130044384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189225036).

130044384 is an abundant number, since it is smaller than the sum of its proper divisors (248405688).

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

130044384 is a wasteful number, since it uses less digits than its factorization.

130044384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 130044384 is about 11403.7004520463. The cubic root of 130044384 is about 506.6373467182.

The spelling of 130044384 in words is "one hundred thirty million, forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 10501 12384 21002 31503 42004 63006 84008 94509 126012 168016 189018 252024 336032 378036 451543 504048 756072 903086 1008096 1354629 1512144 1806172 2709258 3024288 3612344 4063887 5418516 7224688 8127774 10837032 14449376 16255548 21674064 32511096 43348128 65022192 130044384