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11823912 = 2332971693
BaseRepresentation
bin101101000110…
…101100101000
3211020201100200
4231012230220
511011331122
61101232200
7202334022
oct55065450
924221320
1011823912
116746531
123b62660
1325acac9
1417db012
1510885ac
hexb46b28

11823912 has 48 divisors (see below), whose sum is σ = 32372340. Its totient is φ = 3898368.

The previous prime is 11823907. The next prime is 11823923. The reversal of 11823912 is 21932811.

It can be written as a sum of positive squares in 2 ways, for example, as 11737476 + 86436 = 3426^2 + 294^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6138 + ... + 7830.

Almost surely, 211823912 is an apocalyptic number.

11823912 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 11823912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186170).

11823912 is an abundant number, since it is smaller than the sum of its proper divisors (20548428).

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

11823912 is a wasteful number, since it uses less digits than its factorization.

11823912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1795 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11823912 is about 3438.5915721411. The cubic root of 11823912 is about 227.8174901389.

The spelling of 11823912 in words is "eleven million, eight hundred twenty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1693 1746 2328 3386 3492 5079 6772 6984 10158 13544 15237 20316 30474 40632 60948 121896 164221 328442 492663 656884 985326 1313768 1477989 1970652 2955978 3941304 5911956 11823912