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130246512 = 243113759113
BaseRepresentation
bin1111100001101…
…10011101110000
3100002002012121220
413300312131300
5231320342022
620531345040
73141035304
oct760663560
9302065556
10130246512
1167580150
1237752180
1320ca3a56
1413425d04
15b67b85c
hex7c36770

130246512 has 160 divisors (see below), whose sum is σ = 386760960. Its totient is φ = 37416960.

The previous prime is 130246481. The next prime is 130246513. The reversal of 130246512 is 215642031.

It is a super-2 number, since 2×1302465122 = 33928307776332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130246513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152568 + ... + 1152680.

It is an arithmetic number, because the mean of its divisors is an integer number (2417256).

Almost surely, 2130246512 is an apocalyptic number.

130246512 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 130246512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380480).

130246512 is an abundant number, since it is smaller than the sum of its proper divisors (256514448).

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

130246512 is a wasteful number, since it uses less digits than its factorization.

130246512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 130246512 is about 11412.5593974358. The cubic root of 130246512 is about 506.8996996675.

Adding to 130246512 its reverse (215642031), we get a palindrome (345888543).

It can be divided in two parts, 130 and 246512, that added together give a palindrome (246642).

The spelling of 130246512 in words is "one hundred thirty million, two hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 59 66 74 88 111 113 118 132 148 176 177 222 226 236 264 296 339 354 407 444 452 472 528 592 649 678 708 814 888 904 944 1221 1243 1298 1356 1416 1628 1776 1808 1947 2183 2442 2486 2596 2712 2832 3256 3729 3894 4181 4366 4884 4972 5192 5424 6512 6549 6667 7458 7788 8362 8732 9768 9944 10384 12543 13098 13334 14916 15576 16724 17464 19536 19888 20001 24013 25086 26196 26668 29832 31152 33448 34928 40002 45991 48026 50172 52392 53336 59664 66896 72039 73337 80004 91982 96052 100344 104784 106672 137973 144078 146674 160008 183964 192104 200688 220011 246679 275946 288156 293348 320016 367928 384208 440022 493358 551892 576312 586696 735856 740037 880044 986716 1103784 1152624 1173392 1480074 1760088 1973432 2207568 2713469 2960148 3520176 3946864 5426938 5920296 8140407 10853876 11840592 16280814 21707752 32561628 43415504 65123256 130246512