Search a number
-
+
12791232 = 263253419
BaseRepresentation
bin110000110010…
…110111000000
3220001212021100
4300302313000
511233304412
61134054400
7213503136
oct60626700
926055240
1012791232
117247273
12434a400
13285b19c
1419ad756
1511c9edc
hexc32dc0

12791232 has 84 divisors (see below), whose sum is σ = 37444680. Its totient is φ = 4173312.

The previous prime is 12791231. The next prime is 12791249. The reversal of 12791232 is 23219721.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12791196 and 12791205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12791231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30319 + ... + 30737.

It is an arithmetic number, because the mean of its divisors is an integer number (445770).

Almost surely, 212791232 is an apocalyptic number.

12791232 is a gapful number since it is divisible by the number (12) 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 12791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722340).

12791232 is an abundant number, since it is smaller than the sum of its proper divisors (24653448).

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

12791232 is a wasteful number, since it uses less digits than its factorization.

12791232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 12791232 is about 3576.4831888323. The cubic root of 12791232 is about 233.8679947993.

The spelling of 12791232 in words is "twelve million, seven hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 419 424 477 576 636 838 848 954 1257 1272 1676 1696 1908 2514 2544 3352 3392 3771 3816 5028 5088 6704 7542 7632 10056 10176 13408 15084 15264 20112 22207 26816 30168 30528 40224 44414 60336 66621 80448 88828 120672 133242 177656 199863 241344 266484 355312 399726 532968 710624 799452 1065936 1421248 1598904 2131872 3197808 4263744 6395616 12791232