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130023630 = 23451114593
BaseRepresentation
bin1111100000000…
…00000011001110
3100001122212220000
413300000003032
5231241224010
620522505130
73136116432
oct760000316
9301585800
10130023630
1167438750
12376651a6
1320c26479
14133a89c2
15b6357c0
hex7c000ce

130023630 has 80 divisors (see below), whose sum is σ = 381428784. Its totient is φ = 31518720.

The previous prime is 130023613. The next prime is 130023653. The reversal of 130023630 is 36320031.

It is a happy number.

130023630 is a `hidden beast` number, since 1 + 30 + 0 + 2 + 3 + 630 = 666.

It is a super-2 number, since 2×1300236302 = 33812288716753800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1614 + ... + 16206.

Almost surely, 2130023630 is an apocalyptic number.

130023630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130023630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190714392).

130023630 is an abundant number, since it is smaller than the sum of its proper divisors (251405154).

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

130023630 is a wasteful number, since it uses less digits than its factorization.

130023630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14623 (or 14614 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130023630 is about 11402.7904479561. The cubic root of 130023630 is about 506.6103935848.

Adding to 130023630 its reverse (36320031), we get a palindrome (166343661).

The spelling of 130023630 in words is "one hundred thirty million, twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 14593 29186 43779 72965 87558 131337 145930 160523 218895 262674 321046 394011 437790 481569 656685 788022 802615 963138 1182033 1313370 1444707 1605230 1970055 2364066 2407845 2889414 3940110 4334121 4815690 5910165 7223535 8668242 11820330 13002363 14447070 21670605 26004726 43341210 65011815 130023630