Search a number
-
+
12756640 = 255136133
BaseRepresentation
bin110000101010…
…011010100000
3220000002211011
4300222122200
511231203030
61133230304
7213300241
oct60523240
926002734
1012756640
117223286
124332394
132848510
1419a0cc8
1511beb2a
hexc2a6a0

12756640 has 48 divisors (see below), whose sum is σ = 32461128. Its totient is φ = 4709376.

The previous prime is 12756589. The next prime is 12756659. The reversal of 12756640 is 4665721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 1547536 = 3348^2 + 1244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 987 + ... + 5146.

Almost surely, 212756640 is an apocalyptic number.

12756640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12756640 is an abundant number, since it is smaller than the sum of its proper divisors (19704488).

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

12756640 is a wasteful number, since it uses less digits than its factorization.

12756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 12756640 is about 3571.6438792242. The cubic root of 12756640 is about 233.6569839716.

The spelling of 12756640 in words is "twelve million, seven hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6133 12266 24532 30665 49064 61330 79729 98128 122660 159458 196256 245320 318916 398645 490640 637832 797290 981280 1275664 1594580 2551328 3189160 6378320 12756640