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130630968 = 2336131723
BaseRepresentation
bin1111100100101…
…00010100111000
3100002210202000000
413302110110320
5231420142333
620543513000
73144226206
oct762242470
9302722000
10130630968
1167812a86
12378b8760
13210a9a40
14134c6076
15b705713
hex7c94538

130630968 has 112 divisors (see below), whose sum is σ = 395709720. Its totient is φ = 40170816.

The previous prime is 130630957. The next prime is 130631027. The reversal of 130630968 is 869036031.

It is a happy number.

130630968 is a `hidden beast` number, since 13 + 0 + 630 + 9 + 6 + 8 = 666.

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 27 ways as a sum of consecutive naturals, for example, 74955 + ... + 76677.

Almost surely, 2130630968 is an apocalyptic number.

130630968 is a gapful number since it is divisible by the number (18) 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 130630968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197854860).

130630968 is an abundant number, since it is smaller than the sum of its proper divisors (265078752).

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

130630968 is a wasteful number, since it uses less digits than its factorization.

130630968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 130630968 is about 11429.3905349323. The cubic root of 130630968 is about 507.3979579191.

Adding to 130630968 its reverse (869036031), we get a palindrome (999666999).

The spelling of 130630968 in words is "one hundred thirty million, six hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1723 1944 2106 2808 2916 3159 3446 4212 5169 5832 6318 6892 8424 9477 10338 12636 13784 15507 18954 20676 22399 25272 31014 37908 41352 44798 46521 62028 67197 75816 89596 93042 124056 134394 139563 179192 186084 201591 268788 279126 372168 403182 418689 537576 558252 604773 806364 837378 1116504 1209546 1256067 1612728 1674756 1814319 2419092 2512134 3349512 3628638 4838184 5024268 5442957 7257276 10048536 10885914 14514552 16328871 21771828 32657742 43543656 65315484 130630968