Search a number
12766480 = 2451937227
BaseRepresentation
bin110000101100…
…110100010000
3220000121022121
4300230310100
511232011410
61133344024
7213341026
oct60546420
926017277
1012766480
11722a711
124338014
13284cb3c
1419a4716
1511c29da
hexc2cd10

12766480 has 80 divisors (see below), whose sum is σ = 32230080. Its totient is φ = 4686336.

The previous prime is 12766463. The next prime is 12766483. The reversal of 12766480 is 8466721.

12766480 = T55 + T56 + ... + T424.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12766483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56127 + ... + 56353.

It is an arithmetic number, because the mean of its divisors is an integer number (402876).

Almost surely, 212766480 is an apocalyptic number.

12766480 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 12766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115040).

12766480 is an abundant number, since it is smaller than the sum of its proper divisors (19463600).

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

12766480 is a wasteful number, since it uses less digits than its factorization.

12766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 12766480 is about 3573.0211306400. The cubic root of 12766480 is about 233.7170466476.

The spelling of 12766480 in words is "twelve million, seven hundred sixty-six thousand, four hundred eighty".