Search a number
-
+
12696416 = 251723339
BaseRepresentation
bin110000011011…
…101101100000
3212220001012122
4300123231200
511222241131
61132043412
7212626535
oct60335540
925801178
1012696416
117192007
124303568
132826c95
141986d8c
1511abd7b
hexc1bb60

12696416 has 24 divisors (see below), whose sum is σ = 26467560. Its totient is φ = 5974528.

The previous prime is 12696413. The next prime is 12696443. The reversal of 12696416 is 61469621.

It is a super-2 number, since 2×126964162 = 322397958490112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12696413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11126 + ... + 12213.

It is an arithmetic number, because the mean of its divisors is an integer number (1102815).

Almost surely, 212696416 is an apocalyptic number.

12696416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12696416 is an abundant number, since it is smaller than the sum of its proper divisors (13771144).

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

12696416 is a wasteful number, since it uses less digits than its factorization.

12696416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23366 (or 23358 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 12696416 is about 3563.2030534338. The cubic root of 12696416 is about 233.2887062044.

The spelling of 12696416 in words is "twelve million, six hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 23339 46678 93356 186712 373424 396763 746848 793526 1587052 3174104 6348208 12696416