Search a number
-
+
11423376 = 243331853
BaseRepresentation
bin101011100100…
…111010010000
3210111100221000
4223210322100
510411022001
61044502000
7166045206
oct53447220
923440830
1011423376
1164a2608
1239aa900
13249c6c3
141735076
151009a86
hexae4e90

11423376 has 80 divisors (see below), whose sum is σ = 33886720. Its totient is φ = 3680640.

The previous prime is 11423359. The next prime is 11423381. The reversal of 11423376 is 67332411.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 12966 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (423584).

Almost surely, 211423376 is an apocalyptic number.

11423376 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 11423376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943360).

11423376 is an abundant number, since it is smaller than the sum of its proper divisors (22463344).

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

11423376 is a wasteful number, since it uses less digits than its factorization.

11423376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 889 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 11423376 is about 3379.8485173155. The cubic root of 11423376 is about 225.2154380961.

Adding to 11423376 its reverse (67332411), we get a palindrome (78755787).

The spelling of 11423376 in words is "eleven million, four hundred twenty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 853 1116 1488 1674 1706 2232 2559 3348 3412 4464 5118 6696 6824 7677 10236 13392 13648 15354 20472 23031 26443 30708 40944 46062 52886 61416 79329 92124 105772 122832 158658 184248 211544 237987 317316 368496 423088 475974 634632 713961 951948 1269264 1427922 1903896 2855844 3807792 5711688 11423376