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130024664 = 23711231619
BaseRepresentation
bin1111100000000…
…00010011011000
3100001122221022022
413300000103120
5231241242124
620522514012
73136122440
oct760002330
9301587268
10130024664
1167439500
1237665908
1320c26a93
14133a9120
15b635c5e
hex7c004d8

130024664 has 96 divisors (see below), whose sum is σ = 316646400. Its totient is φ = 48945600.

The previous prime is 130024663. The next prime is 130024669. The reversal of 130024664 is 466420031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130024663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209747 + ... + 210365.

It is an arithmetic number, because the mean of its divisors is an integer number (3298400).

Almost surely, 2130024664 is an apocalyptic number.

130024664 is a gapful number since it is divisible by the number (14) 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 130024664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

130024664 is an abundant number, since it is smaller than the sum of its proper divisors (186621736).

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

130024664 is a wasteful number, since it uses less digits than its factorization.

130024664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 130024664 is about 11402.8357876451. The cubic root of 130024664 is about 506.6117365042.

Adding to 130024664 its reverse (466420031), we get a palindrome (596444695).

The spelling of 130024664 in words is "one hundred thirty million, twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 121 124 154 217 242 248 308 341 434 484 616 619 682 847 868 968 1238 1364 1694 1736 2387 2476 2728 3388 3751 4333 4774 4952 6776 6809 7502 8666 9548 13618 15004 17332 19096 19189 26257 27236 30008 34664 38378 47663 52514 54472 74899 76756 95326 105028 134323 149798 153512 190652 210056 211079 268646 299596 381304 422158 524293 537292 599192 844316 1048586 1074584 1477553 1688632 2097172 2321869 2955106 4194344 4643738 5910212 9287476 11820424 16253083 18574952 32506166 65012332 130024664