Search a number
-
+
11013624 = 233350989
BaseRepresentation
bin101010000000…
…110111111000
3202201112212000
4222000313320
510304413444
61032021000
7162420456
oct52006770
922645760
1011013624
116242776
123831760
13238804b
1416699d6
15e78469
hexa80df8

11013624 has 32 divisors (see below), whose sum is σ = 30594000. Its totient is φ = 3671136.

The previous prime is 11013623. The next prime is 11013631. The reversal of 11013624 is 42631011.

11013624 = 3282 + 3292 + ... + 4082.

It is a happy number.

It is a super-2 number, since 2×110136242 = 242599827226752, which contains 22 as substring.

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 = 11013597 and 11013606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013623) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25279 + ... + 25710.

Almost surely, 211013624 is an apocalyptic number.

It is an amenable number.

11013624 is an abundant number, since it is smaller than the sum of its proper divisors (19580376).

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

11013624 is a wasteful number, since it uses less digits than its factorization.

11013624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51004 (or 50994 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11013624 is about 3318.6780500675. The cubic root of 11013624 is about 222.4897878577.

Adding to 11013624 its reverse (42631011), we get a palindrome (53644635).

The spelling of 11013624 in words is "eleven million, thirteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 50989 101978 152967 203956 305934 407912 458901 611868 917802 1223736 1376703 1835604 2753406 3671208 5506812 11013624