Search a number
-
+
11104506 = 2337291013
BaseRepresentation
bin101010010111…
…000011111010
3202220011112000
4222113003322
510320321011
61034001430
7163246440
oct52270372
922804460
1011104506
1162a4a86
123876276
1323ba51a
141690b90
15e95356
hexa970fa

11104506 has 64 divisors (see below), whose sum is σ = 29203200. Its totient is φ = 3060288.

The previous prime is 11104459. The next prime is 11104517. The reversal of 11104506 is 60540111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10456 + ... + 11468.

It is an arithmetic number, because the mean of its divisors is an integer number (456300).

Almost surely, 211104506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11104506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14601600).

11104506 is an abundant number, since it is smaller than the sum of its proper divisors (18098694).

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

11104506 is a wasteful number, since it uses less digits than its factorization.

11104506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11104506 is about 3332.3424193801. The cubic root of 11104506 is about 223.1000911393.

Adding to 11104506 its reverse (60540111), we get a palindrome (71644617).

The spelling of 11104506 in words is "eleven million, one hundred four thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1013 1218 1566 1827 2026 3039 3654 5481 6078 7091 9117 10962 14182 18234 21273 27351 29377 42546 54702 58754 63819 88131 127638 176262 191457 205639 264393 382914 411278 528786 616917 793179 1233834 1586358 1850751 3701502 5552253 11104506