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12840107 = 723179107
BaseRepresentation
bin110000111110…
…110010101011
3220011100022112
4300332302223
511241340412
61135112535
7214065500
oct60766253
926140275
1012840107
11727aa65
12437274b
1328774c7
1419c34a7
1511d9722
hexc3ecab

12840107 has 24 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 10417680.

The previous prime is 12840103. The next prime is 12840109. The reversal of 12840107 is 70104821.

12840107 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12840107 - 22 = 12840103 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12840103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119948 + ... + 120054.

It is an arithmetic number, because the mean of its divisors is an integer number (656640).

Almost surely, 212840107 is an apocalyptic number.

12840107 is a deficient number, since it is larger than the sum of its proper divisors (2919253).

12840107 is a wasteful number, since it uses less digits than its factorization.

12840107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 12840107 is about 3583.3095037967. The cubic root of 12840107 is about 234.1654842767.

Adding to 12840107 its reverse (70104821), we get a palindrome (82944928).

The spelling of 12840107 in words is "twelve million, eight hundred forty thousand, one hundred seven".

Divisors: 1 7 31 49 79 107 217 553 749 1519 2449 3317 3871 5243 8453 17143 23219 59171 120001 162533 262043 414197 1834301 12840107