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114067080 = 23325316853
BaseRepresentation
bin1101100110010…
…00011010001000
321221122012121200
412303020122020
5213200121310
615152504200
72553361041
oct663103210
9257565550
10114067080
115942a316
123224b060
131a82a61a
14112138c8
15a0329c0
hex6cc8688

114067080 has 48 divisors (see below), whose sum is σ = 370719180. Its totient is φ = 30417792.

The previous prime is 114067069. The next prime is 114067087. The reversal of 114067080 is 80760411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95765796 + 18301284 = 9786^2 + 4278^2 .

It is a super-2 number, since 2×1140670802 = 26022597479452800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114067087) 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 11 ways as a sum of consecutive naturals, for example, 158067 + ... + 158786.

Almost surely, 2114067080 is an apocalyptic number.

114067080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114067080 is an abundant number, since it is smaller than the sum of its proper divisors (256652100).

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

114067080 is a wasteful number, since it uses less digits than its factorization.

114067080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316870 (or 316863 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114067080 is about 10680.2190988762. The cubic root of 114067080 is about 484.9758446183.

The spelling of 114067080 in words is "one hundred fourteen million, sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 316853 633706 950559 1267412 1584265 1901118 2534824 2851677 3168530 3802236 4752795 5703354 6337060 7604472 9505590 11406708 12674120 14258385 19011180 22813416 28516770 38022360 57033540 114067080