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12280137 = 3171922329
BaseRepresentation
bin101110110110…
…000101001001
3212002220011220
4232312011021
511120431022
61115112253
7206244102
oct56660511
925086156
1012280137
116a28281
124142689
13270c66c
1418b93a9
15112885c
hexbb6149

12280137 has 48 divisors (see below), whose sum is σ = 19751040. Its totient is φ = 6741504.

The previous prime is 12280127. The next prime is 12280141. The reversal of 12280137 is 73108221.

12280137 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 12280137 - 214 = 12263753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12280127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423439 + ... + 423467.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 212280137 is an apocalyptic number.

12280137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12280137 is a deficient number, since it is larger than the sum of its proper divisors (7470903).

12280137 is a wasteful number, since it uses less digits than its factorization.

12280137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12280137 is about 3504.3026410400. The cubic root of 12280137 is about 230.7107002244.

Adding to 12280137 its reverse (73108221), we get a palindrome (85388358).

The spelling of 12280137 in words is "twelve million, two hundred eighty thousand, one hundred thirty-seven".

Divisors: 1 3 17 19 23 29 51 57 69 87 323 361 391 437 493 551 667 969 1083 1173 1311 1479 1653 2001 6137 7429 8303 9367 10469 11339 12673 18411 22287 24909 28101 31407 34017 38019 141151 177973 215441 240787 423453 533919 646323 722361 4093379 12280137