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11121824 = 257241173
BaseRepresentation
bin101010011011…
…010010100000
3202221001021102
4222123102200
510321344244
61034213532
7163351100
oct52332240
922831242
1011121824
116306a9a
1238842a8
1323c537c
141697200
15e9a54e
hexa9b4a0

11121824 has 72 divisors (see below), whose sum is σ = 26243028. Its totient is φ = 4623360.

The previous prime is 11121823. The next prime is 11121841. The reversal of 11121824 is 42812111.

It can be written as a sum of positive squares in 2 ways, for example, as 11102224 + 19600 = 3332^2 + 140^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11121796 and 11121805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64202 + ... + 64374.

Almost surely, 211121824 is an apocalyptic number.

11121824 is a gapful number since it is divisible by the number (14) 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 11121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121514).

11121824 is an abundant number, since it is smaller than the sum of its proper divisors (15121204).

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

11121824 is a wasteful number, since it uses less digits than its factorization.

11121824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its digits is 128, while the sum is 20.

The square root of 11121824 is about 3334.9398795181. The cubic root of 11121824 is about 223.2160092661.

Adding to 11121824 its reverse (42812111), we get a palindrome (53933935).

The spelling of 11121824 in words is "eleven million, one hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 173 196 224 287 328 346 392 574 656 692 784 1148 1211 1312 1384 1568 2009 2296 2422 2768 4018 4592 4844 5536 7093 8036 8477 9184 9688 14186 16072 16954 19376 28372 32144 33908 38752 49651 56744 64288 67816 99302 113488 135632 198604 226976 271264 347557 397208 695114 794416 1390228 1588832 2780456 5560912 11121824