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13901825 = 5271937113
BaseRepresentation
bin110101000010…
…000000000001
3222011021201102
4311002000001
512024324300
61213544145
7226110050
oct65020001
928137642
1013901825
117935713
1247a5055
132b59842
141bbc397
1513490d5
hexd42001

13901825 has 48 divisors (see below), whose sum is σ = 21486720. Its totient is φ = 8709120.

The previous prime is 13901819. The next prime is 13901827. The reversal of 13901825 is 52810931.

It is a de Polignac number, because none of the positive numbers 2k-13901825 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13901827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122969 + ... + 123081.

It is an arithmetic number, because the mean of its divisors is an integer number (447640).

It is a Proth number, since it is equal to 1697 ⋅ 213 + 1 and 1697 < 213.

Almost surely, 213901825 is an apocalyptic number.

It is an amenable number.

13901825 is a deficient number, since it is larger than the sum of its proper divisors (7584895).

13901825 is a wasteful number, since it uses less digits than its factorization.

13901825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 13901825 is about 3728.5151199908. The cubic root of 13901825 is about 240.4495336297.

The spelling of 13901825 in words is "thirteen million, nine hundred one thousand, eight hundred twenty-five".

Divisors: 1 5 7 19 25 35 37 95 113 133 175 185 259 475 565 665 703 791 925 1295 2147 2825 3325 3515 3955 4181 4921 6475 10735 15029 17575 19775 20905 24605 29267 53675 75145 79439 104525 123025 146335 375725 397195 556073 731675 1985975 2780365 13901825