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12693420 = 2232597727
BaseRepresentation
bin110000011010…
…111110101100
3212212220002200
4300122332230
511222142140
61132021500
7212615025
oct60327654
925786080
1012693420
11718a833
124301890
1328257cc
141985c4c
1511ab030
hexc1afac

12693420 has 72 divisors (see below), whose sum is σ = 38953824. Its totient is φ = 3345408.

The previous prime is 12693413. The next prime is 12693449. The reversal of 12693420 is 2439621.

It is a super-2 number, since 2×126934202 = 322245822592800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17097 + ... + 17823.

It is a vampire number, since it can be written as 29104362 (with its own digits).

Almost surely, 212693420 is an apocalyptic number.

12693420 is a gapful number since it is divisible by the number (10) 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 12693420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476912).

12693420 is an abundant number, since it is smaller than the sum of its proper divisors (26260404).

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

12693420 is a wasteful number, since it uses less digits than its factorization.

12693420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12693420 is about 3562.7826203685. The cubic root of 12693420 is about 233.2703548853.

The spelling of 12693420 in words is "twelve million, six hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 727 873 970 1164 1454 1455 1746 1940 2181 2908 2910 3492 3635 4362 4365 5820 6543 7270 8724 8730 10905 13086 14540 17460 21810 26172 32715 43620 65430 70519 130860 141038 211557 282076 352595 423114 634671 705190 846228 1057785 1269342 1410380 2115570 2538684 3173355 4231140 6346710 12693420