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114213680 = 2457203953
BaseRepresentation
bin1101100111011…
…00001100110000
321221220122201022
412303230030300
5213214314210
615155555012
72554541330
oct663541460
9257818638
10114213680
115951a479
12322bba68
131a87c279
14112510c0
15a061155
hex6cec330

114213680 has 40 divisors (see below), whose sum is σ = 303483552. Its totient is φ = 39158784.

The previous prime is 114213679. The next prime is 114213691. The reversal of 114213680 is 86312411.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101417 + ... + 102536.

Almost surely, 2114213680 is an apocalyptic number.

114213680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114213680 is an abundant number, since it is smaller than the sum of its proper divisors (189269872).

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

114213680 is a wasteful number, since it uses less digits than its factorization.

114213680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203973 (or 203967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 114213680 is about 10687.0800502289. The cubic root of 114213680 is about 485.1835207279.

The spelling of 114213680 in words is "one hundred fourteen million, two hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 203953 407906 815812 1019765 1427671 1631624 2039530 2855342 3263248 4079060 5710684 7138355 8158120 11421368 14276710 16316240 22842736 28553420 57106840 114213680