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12897936 = 2432432083
BaseRepresentation
bin110001001100…
…111010010000
3220021021122100
4301030322100
511300213221
61140240400
7214426212
oct61147220
926237570
1012897936
11730a457
1243a0100
13289791c
1419da5b2
1511eb926
hexc4ce90

12897936 has 60 divisors (see below), whose sum is σ = 36953488. Its totient is φ = 4197312.

The previous prime is 12897919. The next prime is 12897961. The reversal of 12897936 is 63979821.

It is a junction number, because it is equal to n+sod(n) for n = 12897891 and 12897900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5151 + ... + 7233.

Almost surely, 212897936 is an apocalyptic number.

12897936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12897936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476744).

12897936 is an abundant number, since it is smaller than the sum of its proper divisors (24055552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12897936 is a wasteful number, since it uses less digits than its factorization.

12897936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2131 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 12897936 is about 3591.3696551594. The cubic root of 12897936 is about 234.5165010067.

The spelling of 12897936 in words is "twelve million, eight hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 2083 3096 4166 6192 6249 8332 12498 16664 18747 24996 33328 37494 49992 74988 89569 99984 149976 179138 268707 299952 358276 537414 716552 806121 1074828 1433104 1612242 2149656 3224484 4299312 6448968 12897936