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12879945 = 3351341179
BaseRepresentation
bin110001001000…
…100001001001
3220020100222000
4301020201021
511244124240
61140021213
7214322601
oct61104111
926210860
1012879945
1172a7991
124391809
13288c690
1419d3c01
1511e6430
hexc48849

12879945 has 64 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 6151680.

The previous prime is 12879943. The next prime is 12879947. The reversal of 12879945 is 54997821.

It is an interprime number because it is at equal distance from previous prime (12879943) and next prime (12879947).

It is not a de Polignac number, because 12879945 - 21 = 12879943 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12879945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12879941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71866 + ... + 72044.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 212879945 is an apocalyptic number.

12879945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12879945 is a deficient number, since it is larger than the sum of its proper divisors (12521655).

12879945 is a wasteful number, since it uses less digits than its factorization.

12879945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 12879945 is about 3588.8640264017. The cubic root of 12879945 is about 234.4074099181.

It can be divided in two parts, 12879 and 945, that added together give a cube (13824 = 243).

The spelling of 12879945 in words is "twelve million, eight hundred seventy-nine thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 41 45 65 117 123 135 179 195 205 351 369 533 537 585 615 895 1107 1599 1611 1755 1845 2327 2665 2685 4797 4833 5535 6981 7339 7995 8055 11635 14391 20943 22017 23985 24165 34905 36695 62829 66051 71955 95407 104715 110085 198153 286221 314145 330255 477035 858663 990765 1431105 2575989 4293315 12879945