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12149985 = 3517293153
BaseRepresentation
bin101110010110…
…010011100001
3211212021122110
4232112103201
511102244420
61112225533
7205162461
oct56262341
924767573
1012149985
116949511
12409b2a9
132695353
141883ba1
1510eeee0
hexb964e1

12149985 has 64 divisors (see below), whose sum is σ = 22394880. Its totient is φ = 5591040.

The previous prime is 12149971. The next prime is 12149993. The reversal of 12149985 is 58994121.

12149985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12149985 is a nontrivial binomial coefficient, being equal to C(4930, 2).

It is not a de Polignac number, because 12149985 - 213 = 12141793 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229219 + ... + 229271.

It is an arithmetic number, because the mean of its divisors is an integer number (349920).

Almost surely, 212149985 is an apocalyptic number.

12149985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12149985 is the 4929-th triangular number and also the 2465-th hexagonal number.

It is an amenable number.

12149985 is a deficient number, since it is larger than the sum of its proper divisors (10244895).

12149985 is a wasteful number, since it uses less digits than its factorization.

12149985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138.

The product of its digits is 25920, while the sum is 39.

The square root of 12149985 is about 3485.6828599286. The cubic root of 12149985 is about 229.8927351119.

The spelling of 12149985 in words is "twelve million, one hundred forty-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 17 29 31 51 53 85 87 93 145 155 159 255 265 435 465 493 527 795 899 901 1479 1537 1581 1643 2465 2635 2697 2703 4495 4505 4611 4929 7395 7685 7905 8215 13485 13515 15283 23055 24645 26129 27931 45849 47647 76415 78387 83793 130645 139655 142941 229245 238235 391935 418965 714705 809999 2429997 4049995 12149985