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12441195 = 3451317139
BaseRepresentation
bin101111011101…
…011001101011
3212102002010000
4233131121223
511141104240
61122354043
7210514464
oct57353153
925362100
1012441195
117028288
1241bb923
132767a70
14191bd6b
15115b430
hexbdd66b

12441195 has 80 divisors (see below), whose sum is σ = 25613280. Its totient is φ = 5723136.

The previous prime is 12441179. The next prime is 12441197. The reversal of 12441195 is 59114421.

It is not a de Polignac number, because 12441195 - 24 = 12441179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12441197) 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, 89436 + ... + 89574.

It is an arithmetic number, because the mean of its divisors is an integer number (320166).

Almost surely, 212441195 is an apocalyptic number.

12441195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12441195 is an abundant number, since it is smaller than the sum of its proper divisors (13172085).

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

12441195 is a wasteful number, since it uses less digits than its factorization.

12441195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 12441195 is about 3527.2078192247. The cubic root of 12441195 is about 231.7149379828.

The spelling of 12441195 in words is "twelve million, four hundred forty-one thousand, one hundred ninety-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 139 153 195 221 255 351 405 417 459 585 663 695 765 1053 1105 1251 1377 1755 1807 1989 2085 2295 2363 3315 3753 5265 5421 5967 6255 6885 7089 9035 9945 11259 11815 16263 17901 18765 21267 27105 29835 30719 35445 48789 56295 63801 81315 89505 92157 106335 146367 153595 191403 243945 276471 319005 460785 731835 829413 957015 1382355 2488239 4147065 12441195