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11324874 = 2311219821
BaseRepresentation
bin101011001100…
…110111001010
3210022100210210
4223030313022
510344343444
61042421550
7165155061
oct53146712
923270723
1011324874
116435600
1239618b6
132466912
14170b1d8
15eda7b9
hexaccdca

11324874 has 48 divisors (see below), whose sum is σ = 26238240. Its totient is φ = 3247200.

The previous prime is 11324861. The next prime is 11324903. The reversal of 11324874 is 47842311.

It is a super-2 number, since 2×113248742 = 256505542231752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 13384 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (546630).

Almost surely, 211324874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119120).

11324874 is an abundant number, since it is smaller than the sum of its proper divisors (14913366).

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

11324874 is a wasteful number, since it uses less digits than its factorization.

11324874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 856 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 11324874 is about 3365.2450133683. The cubic root of 11324874 is about 224.5662359144.

It can be divided in two parts, 1132 and 4874, that added together give a palindrome (6006).

The spelling of 11324874 in words is "eleven million, three hundred twenty-four thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 821 1254 1642 2299 2463 4598 4926 6897 9031 13794 15599 18062 27093 31198 46797 54186 93594 99341 171589 198682 298023 343178 514767 596046 1029534 1887479 3774958 5662437 11324874