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130016160 = 2532590289
BaseRepresentation
bin1111011111111…
…10001110100000
3100001122111122100
413233332032200
5231241004120
620522410400
73136055601
oct757761640
9301574570
10130016160
116743307a
1237660a00
1320c22c51
14133a5da8
15b633490
hex7bfe3a0

130016160 has 72 divisors (see below), whose sum is σ = 443685060. Its totient is φ = 34670592.

The previous prime is 130016141. The next prime is 130016177. The reversal of 130016160 is 61610031.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 8928144 = 11004^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1300161602 = 33808403722291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43705 + ... + 46584.

Almost surely, 2130016160 is an apocalyptic number.

130016160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130016160 is an abundant number, since it is smaller than the sum of its proper divisors (313668900).

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

130016160 is a wasteful number, since it uses less digits than its factorization.

130016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90310 (or 90299 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130016160 is about 11402.4628918493. The cubic root of 130016160 is about 506.6006916250.

Adding to 130016160 its reverse (61610031), we get a palindrome (191626191).

The spelling of 130016160 in words is "one hundred thirty million, sixteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 90289 180578 270867 361156 451445 541734 722312 812601 902890 1083468 1354335 1444624 1625202 1805780 2166936 2708670 2889248 3250404 3611560 4063005 4333872 5417340 6500808 7223120 8126010 8667744 10834680 13001616 14446240 16252020 21669360 26003232 32504040 43338720 65008080 130016160