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12839437 = 1321741109
BaseRepresentation
bin110000111110…
…101000001101
3220011022101201
4300332220031
511241330222
61135105501
7214063522
oct60765015
926138351
1012839437
11727a506
124372291
132877100
1419c3149
1511d9427
hexc3ea0d

12839437 has 24 divisors (see below), whose sum is σ = 15218280. Its totient is φ = 10782720.

The previous prime is 12839429. The next prime is 12839443. The reversal of 12839437 is 73493821.

12839437 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6817321 + 6022116 = 2611^2 + 2454^2 .

It is not a de Polignac number, because 12839437 - 23 = 12839429 is a prime.

It is a super-2 number, since 2×128394372 = 329702284953938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12839396 and 12839405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12839447) 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, 117739 + ... + 117847.

It is an arithmetic number, because the mean of its divisors is an integer number (634095).

Almost surely, 212839437 is an apocalyptic number.

12839437 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12839437 is a deficient number, since it is larger than the sum of its proper divisors (2378843).

12839437 is a wasteful number, since it uses less digits than its factorization.

12839437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 12839437 is about 3583.2160135833. The cubic root of 12839437 is about 234.1614112680.

The spelling of 12839437 in words is "twelve million, eight hundred thirty-nine thousand, four hundred thirty-seven".

Divisors: 1 13 17 41 109 169 221 533 697 1417 1853 2873 4469 6929 9061 18421 24089 58097 75973 117793 313157 755261 987649 12839437