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114492105 = 32571373383
BaseRepresentation
bin1101101001100…
…00001011001001
321222102210122100
412310300023021
5213302221410
615205544013
72560111140
oct664601311
9258383570
10114492105
115969a682
1232415009
131a948c10
14112c4757
15a0b88c0
hex6d302c9

114492105 has 96 divisors (see below), whose sum is σ = 248242176. Its totient is φ = 47526912.

The previous prime is 114492089. The next prime is 114492149. The reversal of 114492105 is 501294411.

114492105 is a `hidden beast` number, since 1 + 1 + 449 + 210 + 5 = 666.

It is not a de Polignac number, because 114492105 - 24 = 114492089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298744 + ... + 299126.

It is an arithmetic number, because the mean of its divisors is an integer number (2585856).

Almost surely, 2114492105 is an apocalyptic number.

114492105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114492105 is an abundant number, since it is smaller than the sum of its proper divisors (133750071).

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

114492105 is a wasteful number, since it uses less digits than its factorization.

114492105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 114492105 is about 10700.0983640339. The cubic root of 114492105 is about 485.5774536914.

The spelling of 114492105 in words is "one hundred fourteen million, four hundred ninety-two thousand, one hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 73 91 105 117 195 219 273 315 365 383 455 511 585 657 819 949 1095 1149 1365 1533 1915 2555 2681 2847 3285 3447 4095 4599 4745 4979 5745 6643 7665 8043 8541 13405 14235 14937 17235 19929 22995 24129 24895 27959 33215 34853 40215 42705 44811 59787 74685 83877 99645 104559 120645 139795 174265 195713 224055 251631 298935 313677 363467 419385 522795 587139 978565 1090401 1258155 1568385 1761417 1817335 2544269 2935695 3271203 5452005 7632807 8807085 12721345 16356015 22898421 38164035 114492105