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13946985 = 35513883
BaseRepresentation
bin110101001101…
…000001101001
3222020120200000
4311031001221
512032300420
61214533213
7226355523
oct65150151
928216600
1013946985
117966638
124807209
132b74270
141bd0a13
151357690
hexd4d069

13946985 has 48 divisors (see below), whose sum is σ = 27029184. Its totient is φ = 6858432.

The previous prime is 13946983. The next prime is 13947029. The reversal of 13946985 is 58964931.

It is a happy number.

It is not a de Polignac number, because 13946985 - 21 = 13946983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13946985.

It is not an unprimeable number, because it can be changed into a prime (13946981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15354 + ... + 16236.

It is an arithmetic number, because the mean of its divisors is an integer number (563108).

Almost surely, 213946985 is an apocalyptic number.

13946985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13946985 is a deficient number, since it is larger than the sum of its proper divisors (13082199).

13946985 is an equidigital number, since it uses as much as digits as its factorization.

13946985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 13946985 is about 3734.5662398731. The cubic root of 13946985 is about 240.7096185219.

The spelling of 13946985 in words is "thirteen million, nine hundred forty-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 883 1053 1215 1755 2649 3159 4415 5265 7947 11479 13245 15795 23841 34437 39735 57395 71523 103311 119205 172185 214569 309933 357615 516555 929799 1072845 1549665 2789397 4648995 13946985