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12424137 = 311383983
BaseRepresentation
bin101111011001…
…001111001001
3212101012201020
4233121033021
511140033022
61122143053
7210413655
oct57311711
925335636
1012424137
117016490
1241b1a89
13276007b
141915a65
15115635c
hexbd93c9

12424137 has 16 divisors (see below), whose sum is σ = 18137088. Its totient is φ = 7502480.

The previous prime is 12424123. The next prime is 12424177. The reversal of 12424137 is 73142421.

It is a happy number.

12424137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12424137 - 26 = 12424073 is a prime.

It is a super-3 number, since 3×124241373 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12424177) 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, 12148 + ... + 13130.

It is an arithmetic number, because the mean of its divisors is an integer number (1133568).

Almost surely, 212424137 is an apocalyptic number.

It is an amenable number.

12424137 is a deficient number, since it is larger than the sum of its proper divisors (5712951).

12424137 is a wasteful number, since it uses less digits than its factorization.

12424137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380.

The product of its digits is 1344, while the sum is 24.

The square root of 12424137 is about 3524.7889298510. The cubic root of 12424137 is about 231.6089888559.

Adding to 12424137 its reverse (73142421), we get a palindrome (85566558).

It can be divided in two parts, 12424 and 137, that added together give a triangular number (12561 = T158).

The spelling of 12424137 in words is "twelve million, four hundred twenty-four thousand, one hundred thirty-seven".

Divisors: 1 3 11 33 383 983 1149 2949 4213 10813 12639 32439 376489 1129467 4141379 12424137