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114076125 = 3253313271
BaseRepresentation
bin1101100110010…
…10100111011101
321221122200000200
412303022213131
5213200414000
615153014113
72553426312
oct663124735
9257580020
10114076125
1159436099
1232254339
131a831787
1411216d09
15a035500
hex6cca9dd

114076125 has 48 divisors (see below), whose sum is σ = 212339712. Its totient is φ = 58860000.

The previous prime is 114076117. The next prime is 114076141. The reversal of 114076125 is 521670411.

It is a happy number.

114076125 is a `hidden beast` number, since 1 + 1 + 40 + 7 + 612 + 5 = 666.

It is not a de Polignac number, because 114076125 - 23 = 114076117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33240 + ... + 36510.

It is an arithmetic number, because the mean of its divisors is an integer number (4423744).

Almost surely, 2114076125 is an apocalyptic number.

114076125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114076125 is a deficient number, since it is larger than the sum of its proper divisors (98263587).

114076125 is a wasteful number, since it uses less digits than its factorization.

114076125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 114076125 is about 10680.6425368514. The cubic root of 114076125 is about 484.9886630715.

The spelling of 114076125 in words is "one hundred fourteen million, seventy-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 375 465 775 1125 1395 2325 3271 3875 6975 9813 11625 16355 29439 34875 49065 81775 101401 147195 245325 304203 408875 507005 735975 912609 1226625 1521015 2535025 3679875 4563045 7605075 12675125 22815225 38025375 114076125