Search a number
-
+
11034112 = 2923937
BaseRepresentation
bin101010000101…
…111000000000
3202202120221211
4222011320000
510311042422
61032255504
7162534265
oct52057000
922676854
1011034112
116257101
123841594
13239447b
14167326c
15e7e577
hexa85e00

11034112 has 40 divisors (see below), whose sum is σ = 23029776. Its totient is φ = 5271552.

The previous prime is 11034091. The next prime is 11034119. The reversal of 11034112 is 21143011.

It is a junction number, because it is equal to n+sod(n) for n = 11034092 and 11034101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034119) 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, 11308 + ... + 12244.

Almost surely, 211034112 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 11034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514888).

11034112 is an abundant number, since it is smaller than the sum of its proper divisors (11995664).

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

11034112 is an frugal number, since it uses more digits than its factorization.

11034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11034112 is about 3321.7633871184. The cubic root of 11034112 is about 222.6276639747.

Adding to 11034112 its reverse (21143011), we get a palindrome (32177123).

The spelling of 11034112 in words is "eleven million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 937 1472 1874 2944 3748 5888 7496 11776 14992 21551 29984 43102 59968 86204 119936 172408 239872 344816 479744 689632 1379264 2758528 5517056 11034112