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11104000 = 2853347
BaseRepresentation
bin101010010110…
…111100000000
3202220010211021
4222112330000
510320312000
61033555224
7163245115
oct52267400
922803737
1011104000
1162a4666
123875b14
1323ba21b
14169090c
15e9511a
hexa96f00

11104000 has 72 divisors (see below), whose sum is σ = 27741168. Its totient is φ = 4428800.

The previous prime is 11103979. The next prime is 11104007. The reversal of 11104000 is 40111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11104007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31827 + ... + 32173.

It is an arithmetic number, because the mean of its divisors is an integer number (385294).

Almost surely, 211104000 is an apocalyptic number.

11104000 is a gapful number since it is divisible by the number (10) 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 11104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870584).

11104000 is an abundant number, since it is smaller than the sum of its proper divisors (16637168).

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

11104000 is an frugal number, since it uses more digits than its factorization.

11104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 11104000 is about 3332.2664959454. The cubic root of 11104000 is about 223.0967024140.

Adding to 11104000 its reverse (40111), we get a palindrome (11144111).

The spelling of 11104000 in words is "eleven million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 347 400 500 640 694 800 1000 1280 1388 1600 1735 2000 2776 3200 3470 4000 5552 6400 6940 8000 8675 11104 13880 16000 17350 22208 27760 32000 34700 43375 44416 55520 69400 86750 88832 111040 138800 173500 222080 277600 347000 444160 555200 694000 1110400 1388000 2220800 2776000 5552000 11104000