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12942765 = 3251122377
BaseRepresentation
bin110001010111…
…110110101101
3220100120010200
4301113312231
511303132030
61141224113
7215004003
oct61276655
926316120
1012942765
117340100
124402039
1328b2154
141a0ca73
151209d60
hexc57dad

12942765 has 36 divisors (see below), whose sum is σ = 24669372. Its totient is φ = 6272640.

The previous prime is 12942751. The next prime is 12942791. The reversal of 12942765 is 56724921.

12942765 = T134 + T135 + ... + T430.

It can be written as a sum of positive squares in 2 ways, for example, as 4888521 + 8054244 = 2211^2 + 2838^2 .

It is not a de Polignac number, because 12942765 - 26 = 12942701 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4257 + ... + 6633.

Almost surely, 212942765 is an apocalyptic number.

12942765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12942765 is a deficient number, since it is larger than the sum of its proper divisors (11726607).

12942765 is a wasteful number, since it uses less digits than its factorization.

12942765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2396 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12942765 is about 3597.6054536316. The cubic root of 12942765 is about 234.7878876743.

The spelling of 12942765 in words is "twelve million, nine hundred forty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 2377 5445 7131 11885 21393 26147 35655 78441 106965 130735 235323 287617 392205 862851 1176615 1438085 2588553 4314255 12942765