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12982335 = 353127919
BaseRepresentation
bin110001100001…
…100000111111
3220102120102020
4301201200333
511310413320
61142131223
7215230242
oct61414077
926376366
1012982335
117367903
124420b13
1328c7172
141a1d259
151216940
hexc6183f

12982335 has 16 divisors (see below), whose sum is σ = 21442560. Its totient is φ = 6700320.

The previous prime is 12982331. The next prime is 12982349. The reversal of 12982335 is 53328921.

12982335 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 12982335 - 22 = 12982331 is a prime.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12982296 and 12982305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13495 + ... + 14424.

It is an arithmetic number, because the mean of its divisors is an integer number (1340160).

Almost surely, 212982335 is an apocalyptic number.

12982335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12982335 is a deficient number, since it is larger than the sum of its proper divisors (8460225).

12982335 is a wasteful number, since it uses less digits than its factorization.

12982335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27958.

The product of its digits is 12960, while the sum is 33.

The square root of 12982335 is about 3603.1007479670. The cubic root of 12982335 is about 235.0269170918.

The spelling of 12982335 in words is "twelve million, nine hundred eighty-two thousand, three hundred thirty-five".

Divisors: 1 3 5 15 31 93 155 465 27919 83757 139595 418785 865489 2596467 4327445 12982335