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130515080 = 23529591907
BaseRepresentation
bin1111100011110…
…00000010001000
3100002120212000212
413301320002020
5231402440310
620541220252
73143234303
oct761700210
9302525025
10130515080
1167743a03
1237861688
1321069077
1413495b3a
15b6d1205
hex7c78088

130515080 has 64 divisors (see below), whose sum is σ = 309096000. Its totient is φ = 49525504.

The previous prime is 130515079. The next prime is 130515083. The reversal of 130515080 is 80515031.

It is a super-2 number, since 2×1305150802 = 34068372214812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130515083) 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 15 ways as a sum of consecutive naturals, for example, 67487 + ... + 69393.

It is an arithmetic number, because the mean of its divisors is an integer number (4829625).

Almost surely, 2130515080 is an apocalyptic number.

130515080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130515080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154548000).

130515080 is an abundant number, since it is smaller than the sum of its proper divisors (178580920).

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

130515080 is a wasteful number, since it uses less digits than its factorization.

130515080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 130515080 is about 11424.3196733985. The cubic root of 130515080 is about 507.2478691299.

The spelling of 130515080 in words is "one hundred thirty million, five hundred fifteen thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 232 236 290 295 472 580 590 1160 1180 1711 1907 2360 3422 3814 6844 7628 8555 9535 13688 15256 17110 19070 34220 38140 55303 68440 76280 110606 112513 221212 225026 276515 442424 450052 553030 562565 900104 1106060 1125130 2212120 2250260 3262877 4500520 6525754 13051508 16314385 26103016 32628770 65257540 130515080