Search a number
-
+
11280024 = 2332722381
BaseRepresentation
bin101011000001…
…111010011000
3210020002021200
4223001322120
510341430044
61041434200
7164610240
oct53017230
923202250
1011280024
116404938
12393b960
13244c392
1416d8b20
15ecc369
hexac1e98

11280024 has 48 divisors (see below), whose sum is σ = 34915920. Its totient is φ = 3222720.

The previous prime is 11280011. The next prime is 11280041. The reversal of 11280024 is 42008211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11279979 and 11280006.

It is a congruent number.

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, 10687 + ... + 11694.

It is an arithmetic number, because the mean of its divisors is an integer number (727415).

Almost surely, 211280024 is an apocalyptic number.

11280024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11280024 is an abundant number, since it is smaller than the sum of its proper divisors (23635896).

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

11280024 is a wasteful number, since it uses less digits than its factorization.

11280024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22400 (or 22393 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11280024 is about 3358.5746976954. The cubic root of 11280024 is about 224.2693931469.

Adding to 11280024 its reverse (42008211), we get a palindrome (53288235).

The spelling of 11280024 in words is "eleven million, two hundred eighty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 22381 44762 67143 89524 134286 156667 179048 201429 268572 313334 402858 470001 537144 626668 805716 940002 1253336 1410003 1611432 1880004 2820006 3760008 5640012 11280024