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114406125 = 3531916057
BaseRepresentation
bin1101101000110…
…11001011101101
321222021102200220
412310123023231
5213241444000
615204041553
72556302361
oct664331355
9258242626
10114406125
1159641019
12323932b9
131a918a42
14112a12a1
15a09d1a0
hex6d1b2ed

114406125 has 32 divisors (see below), whose sum is σ = 200403840. Its totient is φ = 57801600.

The previous prime is 114406091. The next prime is 114406139. The reversal of 114406125 is 521604411.

It is a happy number.

It is not a de Polignac number, because 114406125 - 27 = 114405997 is a prime.

It is a super-2 number, since 2×1144061252 = 26177522875031250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114406095 and 114406104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904 + ... + 15153.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620).

Almost surely, 2114406125 is an apocalyptic number.

114406125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114406125 is a deficient number, since it is larger than the sum of its proper divisors (85997715).

114406125 is a wasteful number, since it uses less digits than its factorization.

114406125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16094 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114406125 is about 10696.0798893800. The cubic root of 114406125 is about 485.4558720772.

The spelling of 114406125 in words is "one hundred fourteen million, four hundred six thousand, one hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 475 1425 2375 7125 16057 48171 80285 240855 305083 401425 915249 1204275 1525415 2007125 4576245 6021375 7627075 22881225 38135375 114406125