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11106060 = 2235731853
BaseRepresentation
bin101010010111…
…011100001100
3202220020122120
4222113130030
510320343220
61034012540
7163254120
oct52273414
922806576
1011106060
1162a6169
123877150
1323bb144
141691580
15e95a40
hexa9770c

11106060 has 96 divisors (see below), whose sum is σ = 36728832. Its totient is φ = 2453760.

The previous prime is 11106047. The next prime is 11106071. The reversal of 11106060 is 6060111.

11106060 is digitally balanced in base 2 and base 4, because in such bases 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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12594 + ... + 13446.

It is an arithmetic number, because the mean of its divisors is an integer number (382592).

Almost surely, 211106060 is an apocalyptic number.

11106060 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 11106060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364416).

11106060 is an abundant number, since it is smaller than the sum of its proper divisors (25622772).

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

11106060 is a wasteful number, since it uses less digits than its factorization.

11106060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11106060 is about 3332.5755805383. The cubic root of 11106060 is about 223.1104977667.

Adding to 11106060 its reverse (6060111), we get a palindrome (17166171).

The spelling of 11106060 in words is "eleven million, one hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 853 868 930 1085 1302 1706 1860 2170 2559 2604 3255 3412 4265 4340 5118 5971 6510 8530 10236 11942 12795 13020 17060 17913 23884 25590 26443 29855 35826 51180 52886 59710 71652 79329 89565 105772 119420 132215 158658 179130 185101 264430 317316 358260 370202 396645 528860 555303 740404 793290 925505 1110606 1586580 1851010 2221212 2776515 3702020 5553030 11106060