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130488192 = 2733172221
BaseRepresentation
bin1111100011100…
…01011110000000
3100002112111011000
413301301132000
5231401110232
620540452000
73143063022
oct761613600
9302474130
10130488192
116772578a
123784a000
1321059a63
141348a012
15b6c827c
hex7c71780

130488192 has 128 divisors (see below), whose sum is σ = 407959200. Its totient is φ = 40919040.

The previous prime is 130488179. The next prime is 130488203. The reversal of 130488192 is 291884031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 57642 + ... + 59862.

Almost surely, 2130488192 is an apocalyptic number.

130488192 is a gapful number since it is divisible by the number (12) 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 130488192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203979600).

130488192 is an abundant number, since it is smaller than the sum of its proper divisors (277471008).

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

130488192 is a wasteful number, since it uses less digits than its factorization.

130488192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 130488192 is about 11423.1428249847. The cubic root of 130488192 is about 507.2130332641.

The spelling of 130488192 in words is "one hundred thirty million, four hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2221 2448 3264 3456 3672 4442 4896 6528 6663 7344 8884 9792 13326 14688 17768 19584 19989 26652 29376 35536 37757 39978 53304 58752 59967 71072 75514 79956 106608 113271 119934 142144 151028 159912 213216 226542 239868 284288 302056 319824 339813 426432 453084 479736 604112 639648 679626 852864 906168 959472 1019439 1208224 1279296 1359252 1812336 1918944 2038878 2416448 2558592 2718504 3624672 3837888 4077756 4832896 5437008 7249344 7675776 8155512 10874016 14498688 16311024 21748032 32622048 43496064 65244096 130488192