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13949325 = 32521319251
BaseRepresentation
bin110101001101…
…100110001101
3222020200212200
4311031212031
512032334300
61214552113
7226365405
oct65154615
928220780
1013949325
117968375
124808639
132b75350
141bd1805
151358200
hexd4d98d

13949325 has 72 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 6480000.

The previous prime is 13949323. The next prime is 13949347. The reversal of 13949325 is 52394931.

It is a happy number.

It is not a de Polignac number, because 13949325 - 21 = 13949323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13949325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13949323) 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 71 ways as a sum of consecutive naturals, for example, 55450 + ... + 55700.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 213949325 is an apocalyptic number.

13949325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13949325 is an abundant number, since it is smaller than the sum of its proper divisors (14486355).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13949325 is a wasteful number, since it uses less digits than its factorization.

13949325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 13949325 is about 3734.8795161290. The cubic root of 13949325 is about 240.7230797110.

The spelling of 13949325 in words is "thirteen million, nine hundred forty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 39 45 57 65 75 95 117 171 195 225 247 251 285 325 475 585 741 753 855 975 1235 1255 1425 2223 2259 2925 3263 3705 3765 4275 4769 6175 6275 9789 11115 11295 14307 16315 18525 18825 23845 29367 42921 48945 55575 56475 61997 71535 81575 119225 146835 185991 214605 244725 309985 357675 557973 734175 929955 1073025 1549925 2789865 4649775 13949325