Search a number
-
+
11104200 = 23325231199
BaseRepresentation
bin101010010110…
…111111001000
3202220011002200
4222112333020
510320313300
61034000200
7163245522
oct52267710
922804080
1011104200
1162a4828
123876060
1323ba343
141690a12
15e95200
hexa96fc8

11104200 has 144 divisors (see below), whose sum is σ = 38688000. Its totient is φ = 2851200.

The previous prime is 11104127. The next prime is 11104207. The reversal of 11104200 is 240111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11104207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 55701 + ... + 55899.

Almost surely, 211104200 is an apocalyptic number.

11104200 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 11104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344000).

11104200 is an abundant number, since it is smaller than the sum of its proper divisors (27583800).

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

11104200 is a wasteful number, since it uses less digits than its factorization.

11104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11104200 is about 3332.2965054148. The cubic root of 11104200 is about 223.0980418434.

Adding to 11104200 its reverse (240111), we get a palindrome (11344311).

The spelling of 11104200 in words is "eleven million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 199 200 225 248 279 300 310 360 372 398 450 465 558 597 600 620 744 775 796 900 930 995 1116 1194 1240 1395 1550 1592 1791 1800 1860 1990 2232 2325 2388 2790 2985 3100 3582 3720 3980 4650 4776 4975 5580 5970 6169 6200 6975 7164 7960 8955 9300 9950 11160 11940 12338 13950 14328 14925 17910 18507 18600 19900 23880 24676 27900 29850 30845 35820 37014 39800 44775 49352 55521 55800 59700 61690 71640 74028 89550 92535 111042 119400 123380 148056 154225 179100 185070 222084 246760 277605 308450 358200 370140 444168 462675 555210 616900 740280 925350 1110420 1233800 1388025 1850700 2220840 2776050 3701400 5552100 11104200