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130231968 = 25317199401
BaseRepresentation
bin1111100001100…
…10111010100000
3100002001110200020
413300302322200
5231314410333
620531153440
73140645016
oct760627240
9302043606
10130231968
1167570229
1237745880
1320c9a249
14134208b6
15b6773b3
hex7c32ea0

130231968 has 96 divisors (see below), whose sum is σ = 364694400. Its totient is φ = 40550400.

The previous prime is 130231921. The next prime is 130232017. The reversal of 130231968 is 869132031.

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

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, 324568 + ... + 324968.

It is an arithmetic number, because the mean of its divisors is an integer number (3798900).

Almost surely, 2130231968 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 130231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182347200).

130231968 is an abundant number, since it is smaller than the sum of its proper divisors (234462432).

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

130231968 is a wasteful number, since it uses less digits than its factorization.

130231968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 130231968 is about 11411.9221869061. The cubic root of 130231968 is about 506.8808312834.

Adding to 130231968 its reverse (869132031), we get a palindrome (999363999).

The spelling of 130231968 in words is "one hundred thirty million, two hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 199 204 272 398 401 408 544 597 796 802 816 1194 1203 1592 1604 1632 2388 2406 3184 3208 3383 4776 4812 6368 6416 6766 6817 9552 9624 10149 12832 13532 13634 19104 19248 20298 20451 27064 27268 38496 40596 40902 54128 54536 79799 81192 81804 108256 109072 159598 162384 163608 218144 239397 319196 324768 327216 478794 638392 654432 957588 1276784 1356583 1915176 2553568 2713166 3830352 4069749 5426332 7660704 8139498 10852664 16278996 21705328 32557992 43410656 65115984 130231968