Search a number
-
+
130738656 = 25331197223
BaseRepresentation
bin1111100101011…
…10100111100000
3100010000012201110
413302232213200
5231432114111
620550103320
73145155156
oct762564740
9303005643
10130738656
1167886984
123794ab40
1321116a69
14135133d6
15b7275a6
hex7cae9e0

130738656 has 96 divisors (see below), whose sum is σ = 357654528. Its totient is φ = 41771520.

The previous prime is 130738609. The next prime is 130738763. The reversal of 130738656 is 656837031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586161 + ... + 586383.

It is an arithmetic number, because the mean of its divisors is an integer number (3725568).

Almost surely, 2130738656 is an apocalyptic number.

130738656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130738656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178827264).

130738656 is an abundant number, since it is smaller than the sum of its proper divisors (226915872).

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

130738656 is a wasteful number, since it uses less digits than its factorization.

130738656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 130738656 is about 11434.1005767835. The cubic root of 130738656 is about 507.5373471832.

The spelling of 130738656 in words is "one hundred thirty million, seven hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 197 223 248 372 394 446 496 591 669 744 788 892 992 1182 1338 1488 1576 1784 2364 2676 2976 3152 3568 4728 5352 6107 6304 6913 7136 9456 10704 12214 13826 18321 18912 20739 21408 24428 27652 36642 41478 43931 48856 55304 73284 82956 87862 97712 110608 131793 146568 165912 175724 195424 221216 263586 293136 331824 351448 527172 586272 663648 702896 1054344 1361861 1405792 2108688 2723722 4085583 4217376 5447444 8171166 10894888 16342332 21789776 32684664 43579552 65369328 130738656