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12943008 = 2532133457
BaseRepresentation
bin110001010111…
…111010100000
3220100120110200
4301113322200
511303134013
61141225200
7215004501
oct61277240
926316420
1012943008
117340301
124402200
1328b22b0
141a0cba8
151209e73
hexc57ea0

12943008 has 72 divisors (see below), whose sum is σ = 39649428. Its totient is φ = 3981312.

The previous prime is 12942983. The next prime is 12943031. The reversal of 12943008 is 80034921.

12943008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 3283344 = 3108^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 2016 + ... + 5472.

Almost surely, 212943008 is an apocalyptic number.

12943008 is a gapful number since it is divisible by the number (18) 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 12943008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824714).

12943008 is an abundant number, since it is smaller than the sum of its proper divisors (26706420).

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

12943008 is a wasteful number, since it uses less digits than its factorization.

12943008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12943008 is about 3597.6392259369. The cubic root of 12943008 is about 234.7893570435.

Adding to 12943008 its reverse (80034921), we get a palindrome (92977929).

The spelling of 12943008 in words is "twelve million, nine hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3457 3744 6914 10371 13828 20742 27656 31113 41484 44941 55312 62226 82968 89882 110624 124452 134823 165936 179764 248904 269646 331872 359528 404469 497808 539292 719056 808938 995616 1078584 1438112 1617876 2157168 3235752 4314336 6471504 12943008