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130194144 = 25322571759
BaseRepresentation
bin1111100001010…
…01101011100000
3100001222112210100
413300221223200
5231312203034
620530302400
73140426523
oct760515340
9301875710
10130194144
1167544873
1237727a00
1320c85c72
1413410bba
15b66b099
hex7c29ae0

130194144 has 72 divisors (see below), whose sum is σ = 371891520. Its totient is φ = 43204608.

The previous prime is 130194139. The next prime is 130194149. The reversal of 130194144 is 441491031.

It is an interprime number because it is at equal distance from previous prime (130194139) and next prime (130194149).

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 (130194149) 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 11 ways as a sum of consecutive naturals, for example, 73137 + ... + 74895.

It is an arithmetic number, because the mean of its divisors is an integer number (5165160).

Almost surely, 2130194144 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 130194144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185945760).

130194144 is an abundant number, since it is smaller than the sum of its proper divisors (241697376).

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

130194144 is a wasteful number, since it uses less digits than its factorization.

130194144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130194144 is about 11410.2648523161. The cubic root of 130194144 is about 506.8317544521.

The spelling of 130194144 in words is "one hundred thirty million, one hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 257 288 514 771 1028 1542 1759 2056 2313 3084 3518 4112 4626 5277 6168 7036 8224 9252 10554 12336 14072 15831 18504 21108 24672 28144 31662 37008 42216 56288 63324 74016 84432 126648 168864 253296 452063 506592 904126 1356189 1808252 2712378 3616504 4068567 5424756 7233008 8137134 10849512 14466016 16274268 21699024 32548536 43398048 65097072 130194144