Search a number
-
+
11111424 = 21033617
BaseRepresentation
bin101010011000…
…110000000000
3202220112000020
4222120300000
510321031144
61034053440
7163305552
oct52306000
922815006
1011111424
1162aa1a5
12387a280
1323c070c
1416934d2
15e97419
hexa98c00

11111424 has 44 divisors (see below), whose sum is σ = 29624184. Its totient is φ = 3702784.

The previous prime is 11111417. The next prime is 11111431. The reversal of 11111424 is 42411111.

It is an interprime number because it is at equal distance from previous prime (11111417) and next prime (11111431).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1264 + ... + 4880.

Almost surely, 211111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812092).

11111424 is an abundant number, since it is smaller than the sum of its proper divisors (18512760).

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

11111424 is an equidigital number, since it uses as much as digits as its factorization.

11111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3622 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 11111424 is about 3333.3802663363. The cubic root of 11111424 is about 223.1464112557.

Adding to 11111424 its reverse (42411111), we get a palindrome (53522535).

The spelling of 11111424 in words is "eleven million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3617 7234 10851 14468 21702 28936 43404 57872 86808 115744 173616 231488 347232 462976 694464 925952 1388928 1851904 2777856 3703808 5555712 11111424