Search a number
-
+
12392496 = 2432412099
BaseRepresentation
bin101111010001…
…100000110000
3212022121022100
4233101200300
511133024441
61121340400
7210222504
oct57214060
925277270
1012392496
116aa4736
124197700
13274b84c
141908304
15114bcb6
hexbd1830

12392496 has 60 divisors (see below), whose sum is σ = 35544600. Its totient is φ = 4028160.

The previous prime is 12392459. The next prime is 12392519. The reversal of 12392496 is 69429321.

It is a super-2 number, since 2×123924962 = 307147914220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12392496.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4855 + ... + 6953.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 212392496 is an apocalyptic number.

12392496 is a gapful number since it is divisible by the number (16) 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 12392496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772300).

12392496 is an abundant number, since it is smaller than the sum of its proper divisors (23152104).

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

12392496 is a wasteful number, since it uses less digits than its factorization.

12392496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2145 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 12392496 is about 3520.2977146827. The cubic root of 12392496 is about 231.4122060411.

The spelling of 12392496 in words is "twelve million, three hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2099 2952 4198 5904 6297 8396 12594 16792 18891 25188 33584 37782 50376 75564 86059 100752 151128 172118 258177 302256 344236 516354 688472 774531 1032708 1376944 1549062 2065416 3098124 4130832 6196248 12392496