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163580130 = 232574757
BaseRepresentation
bin10011100000000…
…00100011100010
3102101210201202100
421300000203202
5313334031010
624122031230
74024260000
oct1160004342
9371721670
10163580130
118437819a
1246948516
1327b7519c
1417a21a70
15e5632c0
hex9c008e2

163580130 has 120 divisors (see below), whose sum is σ = 496818972. Its totient is φ = 37340352.

The previous prime is 163580111. The next prime is 163580141. The reversal of 163580130 is 31085361.

It can be written as a sum of positive squares in 2 ways, for example, as 163558521 + 21609 = 12789^2 + 147^2 .

It is a junction number, because it is equal to n+sod(n) for n = 163580094 and 163580103.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215712 + ... + 216468.

Almost surely, 2163580130 is an apocalyptic number.

163580130 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 163580130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248409486).

163580130 is an abundant number, since it is smaller than the sum of its proper divisors (333238842).

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

163580130 is an equidigital number, since it uses as much as digits as its factorization.

163580130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 163580130 is about 12789.8447996838. The cubic root of 163580130 is about 546.9028455155.

The spelling of 163580130 in words is "one hundred sixty-three million, five hundred eighty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 757 882 1029 1470 1514 1715 2058 2205 2271 2401 3087 3430 3785 4410 4542 4802 5145 5299 6174 6813 7203 7570 10290 10598 11355 12005 13626 14406 15435 15897 21609 22710 24010 26495 30870 31794 34065 36015 37093 43218 47691 52990 68130 72030 74186 79485 95382 108045 111279 158970 185465 216090 222558 238455 259651 333837 370930 476910 519302 556395 667674 778953 1112790 1298255 1557906 1669185 1817557 2336859 2596510 3338370 3635114 3894765 4673718 5452671 7789530 9087785 10905342 11684295 16358013 18175570 23368590 27263355 32716026 54526710 81790065 163580130