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130289904 = 243317113157
BaseRepresentation
bin1111100010000…
…01000011110000
3100002011102011000
413301001003300
5231323234104
620532322000
73141305643
oct761010360
9302142130
10130289904
11675aa808
1237773300
1320cba724
1413437a5a
15b689639
hex7c410f0

130289904 has 160 divisors (see below), whose sum is σ = 402027840. Its totient is φ = 40255488.

The previous prime is 130289903. The next prime is 130289909. The reversal of 130289904 is 409982031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130289903) 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 31 ways as a sum of consecutive naturals, for example, 829794 + ... + 829950.

It is an arithmetic number, because the mean of its divisors is an integer number (2512674).

Almost surely, 2130289904 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 130289904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201013920).

130289904 is an abundant number, since it is smaller than the sum of its proper divisors (271737936).

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

130289904 is a wasteful number, since it uses less digits than its factorization.

130289904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 130289904 is about 11414.4603026162. The cubic root of 130289904 is about 506.9559851149.

The spelling of 130289904 in words is "one hundred thirty million, two hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 113 136 144 153 157 204 216 226 272 306 314 339 408 432 452 459 471 612 628 678 816 904 918 942 1017 1224 1256 1356 1413 1808 1836 1884 1921 2034 2448 2512 2669 2712 2826 3051 3672 3768 3842 4068 4239 5338 5424 5652 5763 6102 7344 7536 7684 8007 8136 8478 10676 11304 11526 12204 15368 16014 16272 16956 17289 17741 21352 22608 23052 24021 24408 30736 32028 33912 34578 35482 42704 46104 48042 48816 51867 53223 64056 67824 69156 70964 72063 92208 96084 103734 106446 128112 138312 141928 144126 159669 192168 207468 212892 276624 283856 288252 301597 319338 384336 414936 425784 479007 576504 603194 638676 829872 851568 904791 958014 1153008 1206388 1277352 1809582 1916028 2412776 2554704 2714373 3619164 3832056 4825552 5428746 7238328 7664112 8143119 10857492 14476656 16286238 21714984 32572476 43429968 65144952 130289904