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11137024 = 2122719
BaseRepresentation
bin101010011111…
…000000000000
3202221211010101
4222133000000
510322341044
61034412144
7163443313
oct52370000
922854111
1011137024
116317458
123891054
1323cc272
14169c97a
15e9ecd4
hexa9f000

11137024 has 26 divisors (see below), whose sum is σ = 22279520. Its totient is φ = 5566464.

The previous prime is 11137013. The next prime is 11137031. The reversal of 11137024 is 42073111.

It is a junction number, because it is equal to n+sod(n) for n = 11136992 and 11137010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2737 + ... + 5455.

Almost surely, 211137024 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 11137024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11139760).

11137024 is an abundant number, since it is smaller than the sum of its proper divisors (11142496).

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

11137024 is an frugal number, since it uses more digits than its factorization.

11137024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11137024 is about 3337.2180030678. The cubic root of 11137024 is about 223.3176514322.

The spelling of 11137024 in words is "eleven million, one hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2719 4096 5438 10876 21752 43504 87008 174016 348032 696064 1392128 2784256 5568512 11137024