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114131592 = 2334176129
BaseRepresentation
bin1101100110110…
…00001010001000
321221202111010000
412303120022020
5213204202332
615154123000
72554050111
oct663301210
9257674100
10114131592
1159473833
1232280460
131a850ab3
141122d208
15a046b7c
hex6cd8288

114131592 has 40 divisors (see below), whose sum is σ = 319675950. Its totient is φ = 38043648.

The previous prime is 114131573. The next prime is 114131593. The reversal of 114131592 is 295131411.

It is a happy number.

114131592 is a `hidden beast` number, since 1 + 1 + 41 + 31 + 592 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89984196 + 24147396 = 9486^2 + 4914^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114131593) 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 9 ways as a sum of consecutive naturals, for example, 87417 + ... + 88712.

Almost surely, 2114131592 is an apocalyptic number.

114131592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114131592 is an abundant number, since it is smaller than the sum of its proper divisors (205544358).

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

114131592 is a wasteful number, since it uses less digits than its factorization.

114131592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176147 (or 176134 counting only the distinct ones).

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

The square root of 114131592 is about 10683.2388347355. The cubic root of 114131592 is about 485.0672553489.

The spelling of 114131592 in words is "one hundred fourteen million, one hundred thirty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 176129 352258 528387 704516 1056774 1409032 1585161 2113548 3170322 4227096 4755483 6340644 9510966 12681288 14266449 19021932 28532898 38043864 57065796 114131592