Search a number
-
+
11116600 = 23521131163
BaseRepresentation
bin101010011010…
…000000111000
3202220210002221
4222122000320
510321212400
61034133424
7163326625
oct52320070
922823087
1011116600
116303080
123881274
1323c2b91
14169534c
15e98c1a
hexa9a038

11116600 has 96 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 3888000.

The previous prime is 11116597. The next prime is 11116627. The reversal of 11116600 is 661111.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68119 + ... + 68281.

It is an arithmetic number, because the mean of its divisors is an integer number (305040).

Almost surely, 211116600 is an apocalyptic number.

11116600 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 11116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920).

11116600 is an abundant number, since it is smaller than the sum of its proper divisors (18167240).

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

11116600 is a wasteful number, since it uses less digits than its factorization.

11116600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 11116600 is about 3334.1565650101. The cubic root of 11116600 is about 223.1810550759.

Adding to 11116600 its reverse (661111), we get a palindrome (11777711).

It can be divided in two parts, 11 and 116600, that added together give a palindrome (116611).

The spelling of 11116600 in words is "eleven million, one hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 163 200 220 248 275 310 326 341 440 550 620 652 682 775 815 1100 1240 1304 1364 1550 1630 1705 1793 2200 2728 3100 3260 3410 3586 4075 5053 6200 6520 6820 7172 8150 8525 8965 10106 13640 14344 16300 17050 17930 20212 25265 32600 34100 35860 40424 44825 50530 55583 68200 71720 89650 101060 111166 126325 179300 202120 222332 252650 277915 358600 444664 505300 555830 1010600 1111660 1389575 2223320 2779150 5558300 11116600