Search a number
-
+
11106536 = 237229977
BaseRepresentation
bin101010010111…
…100011101000
3202220021022012
4222113203220
510320402121
61034015052
7163255400
oct52274350
922807265
1011106536
1162a6561
123877488
1323bb41c
141691800
15e95c5b
hexa978e8

11106536 has 48 divisors (see below), whose sum is σ = 25085700. Its totient is φ = 4591104.

The previous prime is 11106533. The next prime is 11106541. The reversal of 11106536 is 63560111.

It is a happy number.

11106536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10278436 + 828100 = 3206^2 + 910^2 .

It is not an unprimeable number, because it can be changed into a prime (11106533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10880 + ... + 11856.

Almost surely, 211106536 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 11106536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542850).

11106536 is an abundant number, since it is smaller than the sum of its proper divisors (13979164).

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

11106536 is a wasteful number, since it uses less digits than its factorization.

11106536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 11106536 is about 3332.6469960078. The cubic root of 11106536 is about 223.1136851881.

Adding to 11106536 its reverse (63560111), we get a palindrome (74666647).

The spelling of 11106536 in words is "eleven million, one hundred six thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 977 1421 1624 1954 2842 3908 5684 6839 7816 11368 13678 27356 28333 47873 54712 56666 95746 113332 191492 198331 226664 382984 396662 793324 1388317 1586648 2776634 5553268 11106536