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130575330 = 23251579241
BaseRepresentation
bin1111100100001…
…10101111100010
3100002200220200100
413302012233202
5231411402310
620542403230
73143605044
oct762065742
9302626610
10130575330
11677851a6
1237890516
132108a612
14134ada94
15b6e3ec0
hex7c86be2

130575330 has 48 divisors (see below), whose sum is σ = 341695224. Its totient is φ = 34594560.

The previous prime is 130575323. The next prime is 130575337. The reversal of 130575330 is 33575031.

It is an interprime number because it is at equal distance from previous prime (130575323) and next prime (130575337).

It can be written as a sum of positive squares in 4 ways, for example, as 123810129 + 6765201 = 11127^2 + 2601^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130575294 and 130575303.

It is not an unprimeable number, because it can be changed into a prime (130575337) 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, 9510 + ... + 18750.

Almost surely, 2130575330 is an apocalyptic number.

130575330 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 130575330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170847612).

130575330 is an abundant number, since it is smaller than the sum of its proper divisors (211119894).

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

130575330 is a wasteful number, since it uses less digits than its factorization.

130575330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9411 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 130575330 is about 11426.9562876560. The cubic root of 130575330 is about 507.3259111527.

The spelling of 130575330 in words is "one hundred thirty million, five hundred seventy-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 9241 14130 18482 27723 46205 55446 83169 92410 138615 166338 277230 415845 831690 1450837 2901674 4352511 7254185 8705022 13057533 14508370 21762555 26115066 43525110 65287665 130575330