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130153530 = 235131767293
BaseRepresentation
bin1111100000111…
…11110000111010
3100001220111002010
413300133300322
5231304403110
620525350350
73140200233
oct760376072
9301814063
10130153530
1167517301
12377083b6
1320c70630
141340008a
15b65e020
hex7c1fc3a

130153530 has 128 divisors (see below), whose sum is σ = 362734848. Its totient is φ = 29601792.

The previous prime is 130153493. The next prime is 130153559. The reversal of 130153530 is 35351031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130153497 and 130153506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444064 + ... + 444356.

It is an arithmetic number, because the mean of its divisors is an integer number (2833866).

Almost surely, 2130153530 is an apocalyptic number.

130153530 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 130153530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181367424).

130153530 is an abundant number, since it is smaller than the sum of its proper divisors (232581318).

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

130153530 is a wasteful number, since it uses less digits than its factorization.

130153530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 130153530 is about 11408.4850002093. The cubic root of 130153530 is about 506.7790469978.

The spelling of 130153530 in words is "one hundred thirty million, one hundred fifty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 67 78 85 102 130 134 170 195 201 221 255 293 335 390 402 442 510 586 663 670 871 879 1005 1105 1139 1326 1465 1742 1758 2010 2210 2278 2613 2930 3315 3417 3809 4355 4395 4981 5226 5695 6630 6834 7618 8710 8790 9962 11390 11427 13065 14807 14943 17085 19045 19631 22854 24905 26130 29614 29886 34170 38090 39262 44421 49810 57135 58893 64753 74035 74715 88842 98155 114270 117786 129506 148070 149430 194259 196310 222105 255203 294465 323765 333727 388518 444210 510406 588930 647530 667454 765609 971295 1001181 1276015 1531218 1668635 1942590 2002362 2552030 3337270 3828045 4338451 5005905 7656090 8676902 10011810 13015353 21692255 26030706 43384510 65076765 130153530