Search a number
-
+
12688608 = 253132173
BaseRepresentation
bin110000011001…
…110011100000
3212212122111110
4300121303200
511222013413
61131543320
7212565012
oct60316340
925778443
1012688608
117187159
1242bab40
13282356a
1419841b2
1511a98c3
hexc19ce0

12688608 has 24 divisors (see below), whose sum is σ = 33307848. Its totient is φ = 4229504.

The previous prime is 12688607. The next prime is 12688609. The reversal of 12688608 is 80688621.

It is an interprime number because it is at equal distance from previous prime (12688607) and next prime (12688609).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×126886082 = 322001545955328, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65991 + ... + 66182.

It is an arithmetic number, because the mean of its divisors is an integer number (1387827).

Almost surely, 212688608 is an apocalyptic number.

It is an amenable number.

12688608 is an abundant number, since it is smaller than the sum of its proper divisors (20619240).

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

12688608 is a wasteful number, since it uses less digits than its factorization.

12688608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132186 (or 132178 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 12688608 is about 3562.1072415075. The cubic root of 12688608 is about 233.2408740250.

The spelling of 12688608 in words is "twelve million, six hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 132173 264346 396519 528692 793038 1057384 1586076 2114768 3172152 4229536 6344304 12688608