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13901625 = 34531373
BaseRepresentation
bin110101000001…
…111100111001
3222011021110000
4311001330321
512024323000
61213543213
7226106343
oct65017471
928137400
1013901625
117935551
1247a4b09
132b5971a
141bbc293
151349000
hexd41f39

13901625 has 40 divisors (see below), whose sum is σ = 25935624. Its totient is φ = 7408800.

The previous prime is 13901623. The next prime is 13901633. The reversal of 13901625 is 52610931.

13901625 is a `hidden beast` number, since 1 + 39 + 0 + 1 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 13682601 = 468^2 + 3699^2 .

It is not a de Polignac number, because 13901625 - 21 = 13901623 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 (13901621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9439 + ... + 10811.

Almost surely, 213901625 is an apocalyptic number.

13901625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13901625 is a deficient number, since it is larger than the sum of its proper divisors (12033999).

13901625 is an equidigital number, since it uses as much as digits as its factorization.

13901625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13901625 is about 3728.4882995659. The cubic root of 13901625 is about 240.4483805404.

The spelling of 13901625 in words is "thirteen million, nine hundred one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 1373 2025 3375 4119 6865 10125 12357 20595 34325 37071 61785 102975 111213 171625 185355 308925 514875 556065 926775 1544625 2780325 4633875 13901625