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114056190 = 23251267291
BaseRepresentation
bin1101100110001…
…01101111111110
321221121122200100
412303011233332
5213144244230
615152341530
72553314223
oct663055776
9257548610
10114056190
1159422116
12322448a6
131a825691
141120d94a
15a02e660
hex6cc5bfe

114056190 has 24 divisors (see below), whose sum is σ = 296546328. Its totient is φ = 30414960.

The previous prime is 114056119. The next prime is 114056191. The reversal of 114056190 is 91650411.

114056190 is a `hidden beast` number, since 1 + 1 + 40 + 5 + 619 + 0 = 666.

It is a super-2 number, since 2×1140561902 = 26017628954632200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114056191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633556 + ... + 633735.

It is an arithmetic number, because the mean of its divisors is an integer number (12356097).

Almost surely, 2114056190 is an apocalyptic number.

114056190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114056190 is an abundant number, since it is smaller than the sum of its proper divisors (182490138).

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

114056190 is a wasteful number, since it uses less digits than its factorization.

114056190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267304 (or 1267301 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 114056190 is about 10679.7092657057. The cubic root of 114056190 is about 484.9604105567.

The spelling of 114056190 in words is "one hundred fourteen million, fifty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1267291 2534582 3801873 6336455 7603746 11405619 12672910 19009365 22811238 38018730 57028095 114056190