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13942125 = 385317
BaseRepresentation
bin110101001011…
…110101101101
3222020100000000
4311023311231
512032122000
61214454513
7226335411
oct65136555
928210000
1013942125
117962a1a
124804439
132b71ca2
141bccd41
151356000
hexd4bd6d

13942125 has 72 divisors (see below), whose sum is σ = 27633528. Its totient is φ = 6998400.

The previous prime is 13942121. The next prime is 13942133. The reversal of 13942125 is 52124931.

It can be written as a sum of positive squares in 4 ways, for example, as 59049 + 13883076 = 243^2 + 3726^2 .

It is not a de Polignac number, because 13942125 - 22 = 13942121 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13942121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 820117 + ... + 820133.

It is an arithmetic number, because the mean of its divisors is an integer number (383799).

Almost surely, 213942125 is an apocalyptic number.

13942125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13942125 is a deficient number, since it is larger than the sum of its proper divisors (13691403).

13942125 is an frugal number, since it uses more digits than its factorization.

13942125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 13942125 is about 3733.9155052036. The cubic root of 13942125 is about 240.6816558558.

The spelling of 13942125 in words is "thirteen million, nine hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 125 135 153 225 243 255 375 405 425 459 675 729 765 1125 1215 1275 1377 2025 2125 2187 2295 3375 3645 3825 4131 6075 6375 6561 6885 10125 10935 11475 12393 18225 19125 20655 30375 32805 34425 37179 54675 57375 61965 91125 103275 111537 164025 172125 185895 273375 309825 516375 557685 820125 929475 1549125 2788425 4647375 13942125