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11240424 = 2333134003
BaseRepresentation
bin101010111000…
…001111101000
3210011001222000
4222320033220
510334143144
61040531000
7164353626
oct52701750
923131860
1011240424
116388108
123920a60
132437350
1416c8516
15ec0769
hexab83e8

11240424 has 64 divisors (see below), whose sum is σ = 33633600. Its totient is φ = 3457728.

The previous prime is 11240423. The next prime is 11240483. The reversal of 11240424 is 42404211.

11240424 is a `hidden beast` number, since 1 + 1 + 240 + 424 = 666.

11240424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11240397 and 11240406.

It is not an unprimeable number, because it can be changed into a prime (11240423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807 + ... + 4809.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

Almost surely, 211240424 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 11240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816800).

11240424 is an abundant number, since it is smaller than the sum of its proper divisors (22393176).

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

11240424 is a wasteful number, since it uses less digits than its factorization.

11240424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 11240424 is about 3352.6741565503. The cubic root of 11240424 is about 224.0066430853.

Adding to 11240424 its reverse (42404211), we get a palindrome (53644635).

It can be divided in two parts, 11240 and 424, that added together give a square (11664 = 1082).

The spelling of 11240424 in words is "eleven million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4003 8006 12009 16012 24018 32024 36027 48036 52039 72054 96072 104078 108081 144108 156117 208156 216162 288216 312234 416312 432324 468351 624468 864648 936702 1248936 1405053 1873404 2810106 3746808 5620212 11240424