Search a number
-
+
12680920 = 235745289
BaseRepresentation
bin110000010111…
…111011011000
3212212020221201
4300113323120
511221242140
61131443544
7212533420
oct60277330
925766851
1012680920
1171813aa
1242b65b4
13281cc05
141981480
1511a749a
hexc17ed8

12680920 has 32 divisors (see below), whose sum is σ = 32608800. Its totient is φ = 4347648.

The previous prime is 12680909. The next prime is 12680933. The reversal of 12680920 is 2908621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22365 + ... + 22924.

It is an arithmetic number, because the mean of its divisors is an integer number (1019025).

Almost surely, 212680920 is an apocalyptic number.

12680920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12680920 is an abundant number, since it is smaller than the sum of its proper divisors (19927880).

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

12680920 is a wasteful number, since it uses less digits than its factorization.

12680920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45307 (or 45303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 12680920 is about 3561.0279414798. The cubic root of 12680920 is about 233.1937577951.

The spelling of 12680920 in words is "twelve million, six hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 45289 90578 181156 226445 317023 362312 452890 634046 905780 1268092 1585115 1811560 2536184 3170230 6340460 12680920