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11104672 = 2517137149
BaseRepresentation
bin101010010111…
…000110100000
3202220011202011
4222113012200
510320322142
61034002304
7163250065
oct52270640
922804664
1011104672
1162a5117
123876394
1323ba617
141690c6c
15e95417
hexa971a0

11104672 has 48 divisors (see below), whose sum is σ = 23473800. Its totient is φ = 5152768.

The previous prime is 11104669. The next prime is 11104673. The reversal of 11104672 is 27640111.

It can be written as a sum of positive squares in 4 ways, for example, as 9265936 + 1838736 = 3044^2 + 1356^2 .

It is not an unprimeable number, because it can be changed into a prime (11104673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74454 + ... + 74602.

Almost surely, 211104672 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 11104672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736900).

11104672 is an abundant number, since it is smaller than the sum of its proper divisors (12369128).

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

11104672 is a wasteful number, since it uses less digits than its factorization.

11104672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 11104672 is about 3332.3673266913. The cubic root of 11104672 is about 223.1012028331.

Adding to 11104672 its reverse (27640111), we get a palindrome (38744783).

The spelling of 11104672 in words is "eleven million, one hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 137 149 272 274 298 544 548 596 1096 1192 2192 2329 2384 2533 4384 4658 4768 5066 9316 10132 18632 20264 20413 37264 40528 40826 74528 81056 81652 163304 326608 347021 653216 694042 1388084 2776168 5552336 11104672