Search a number
-
+
12893985 = 345133179
BaseRepresentation
bin110001001011…
…111100100001
3220021002020000
4301023330201
511300101420
61140210213
7214411536
oct61137441
926232200
1012893985
117307495
124399969
132895ba0
1419d8d8d
1511ea690
hexc4bf21

12893985 has 80 divisors (see below), whose sum is σ = 26019840. Its totient is φ = 6065280.

The previous prime is 12893983. The next prime is 12894001. The reversal of 12893985 is 58939821.

It is a happy number.

12893985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12893985 - 21 = 12893983 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 12893985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12893983) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163176 + ... + 163254.

It is an arithmetic number, because the mean of its divisors is an integer number (325248).

Almost surely, 212893985 is an apocalyptic number.

12893985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12893985 is an abundant number, since it is smaller than the sum of its proper divisors (13125855).

12893985 is a wasteful number, since it uses less digits than its factorization.

12893985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 12893985 is about 3590.8195443380. The cubic root of 12893985 is about 234.4925522311.

The spelling of 12893985 in words is "twelve million, eight hundred ninety-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 79 81 93 117 135 155 195 237 279 351 395 403 405 465 585 711 837 1027 1053 1185 1209 1395 1755 2015 2133 2449 2511 3081 3555 3627 4185 5135 5265 6045 6399 7347 9243 10665 10881 12245 12555 15405 18135 22041 27729 31837 31995 32643 36735 46215 54405 66123 83187 95511 110205 138645 159185 163215 198369 286533 330615 415935 477555 859599 991845 1432665 2578797 4297995 12893985