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130196528 = 24721131487
BaseRepresentation
bin1111100001010…
…10010000110000
3100001222200001122
413300222100300
5231312242103
620530321412
73140436500
oct760522060
9301880048
10130196528
1167546640
1237729268
1320c87087
1413411a00
15b66bb38
hex7c2a430

130196528 has 120 divisors (see below), whose sum is σ = 331121664. Its totient is φ = 48988800.

The previous prime is 130196527. The next prime is 130196581. The reversal of 130196528 is 825691031.

It is a super-2 number, since 2×1301965282 = 33902271806509568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130196527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267101 + ... + 267587.

Almost surely, 2130196528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130196528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165560832).

130196528 is an abundant number, since it is smaller than the sum of its proper divisors (200925136).

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

130196528 is a wasteful number, since it uses less digits than its factorization.

130196528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 130196528 is about 11410.3693191763. The cubic root of 130196528 is about 506.8348479848.

The spelling of 130196528 in words is "one hundred thirty million, one hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 49 56 62 77 88 98 112 124 154 176 196 217 248 308 341 392 434 487 496 539 616 682 784 868 974 1078 1232 1364 1519 1736 1948 2156 2387 2728 3038 3409 3472 3896 4312 4774 5357 5456 6076 6818 7792 8624 9548 10714 12152 13636 15097 16709 19096 21428 23863 24304 27272 30194 33418 37499 38192 42856 47726 54544 60388 66836 74998 85712 95452 105679 120776 133672 149996 166067 190904 211358 241552 262493 267344 299992 332134 381808 422716 524986 599984 664268 739753 845432 1049972 1162469 1328536 1479506 1690864 2099944 2324938 2657072 2959012 4199888 4649876 5918024 8137283 9299752 11836048 16274566 18599504 32549132 65098264 130196528