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11104884 = 2233737397
BaseRepresentation
bin101010010111…
…001001110100
3202220012001000
4222113021310
510320324014
61034003300
7163250520
oct52271164
922805030
1011104884
1162a529a
123876530
1323ba74b
141690d80
15e95509
hexa97274

11104884 has 96 divisors (see below), whose sum is σ = 33877760. Its totient is φ = 3079296.

The previous prime is 11104843. The next prime is 11104889. The reversal of 11104884 is 48840111.

11104884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11104889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27774 + ... + 28170.

Almost surely, 211104884 is an apocalyptic number.

11104884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11104884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938880).

11104884 is an abundant number, since it is smaller than the sum of its proper divisors (22772876).

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

11104884 is a wasteful number, since it uses less digits than its factorization.

11104884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 11104884 is about 3332.3991357579. The cubic root of 11104884 is about 223.1026225705.

Adding to 11104884 its reverse (48840111), we get a palindrome (59944995).

The spelling of 11104884 in words is "eleven million, one hundred four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 397 444 518 666 756 777 794 999 1036 1191 1332 1554 1588 1998 2331 2382 2779 3108 3573 3996 4662 4764 5558 6993 7146 8337 9324 10719 11116 13986 14292 14689 16674 21438 25011 27972 29378 33348 42876 44067 50022 58756 75033 88134 100044 102823 132201 150066 176268 205646 264402 300132 308469 396603 411292 528804 616938 793206 925407 1233876 1586412 1850814 2776221 3701628 5552442 11104884