Search a number
-
+
12963312 = 243290023
BaseRepresentation
bin110001011100…
…110111110000
3220101121022200
4301130313300
511304311222
61141503200
7215120625
oct61346760
926347280
1012963312
11735458a
124411b00
1328bb5cb
141a1634c
151210eac
hexc5cdf0

12963312 has 30 divisors (see below), whose sum is σ = 36279672. Its totient is φ = 4321056.

The previous prime is 12963311. The next prime is 12963317. The reversal of 12963312 is 21336921.

12963312 is a `hidden beast` number, since 1 + 29 + 633 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12963311) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 44868 + ... + 45155.

Almost surely, 212963312 is an apocalyptic number.

12963312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12963312 is an abundant number, since it is smaller than the sum of its proper divisors (23316360).

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

12963312 is a wasteful number, since it uses less digits than its factorization.

12963312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90037 (or 90028 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12963312 is about 3600.4599706149. The cubic root of 12963312 is about 234.9120660894.

The spelling of 12963312 in words is "twelve million, nine hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 90023 180046 270069 360092 540138 720184 810207 1080276 1440368 1620414 2160552 3240828 4321104 6481656 12963312