Search a number
-
+
11123072 = 27671297
BaseRepresentation
bin101010011011…
…100110000000
3202221002222122
4222123212000
510321414242
61034223412
7163354532
oct52334600
922832878
1011123072
116307a24
123884b68
1323c5acc
141697852
15e9aad2
hexa9b980

11123072 has 32 divisors (see below), whose sum is σ = 22507320. Its totient is φ = 5474304.

The previous prime is 11123071. The next prime is 11123107. The reversal of 11123072 is 27032111.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11123072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7928 + ... + 9224.

Almost surely, 211123072 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 11123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253660).

11123072 is an abundant number, since it is smaller than the sum of its proper divisors (11384248).

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

11123072 is an equidigital number, since it uses as much as digits as its factorization.

11123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 11123072 is about 3335.1269840892. The cubic root of 11123072 is about 223.2243581113.

Adding to 11123072 its reverse (27032111), we get a palindrome (38155183).

The spelling of 11123072 in words is "eleven million, one hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 1297 2144 2594 4288 5188 8576 10376 20752 41504 83008 86899 166016 173798 347596 695192 1390384 2780768 5561536 11123072