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11008116 = 2233714561
BaseRepresentation
bin101001111111…
…100001110100
3202201021022000
4221333201310
510304224431
61031535300
7162365430
oct51774164
922637260
1011008116
116239619
12382a530
1323856a2
1416679c0
15e769e6
hexa7f874

11008116 has 48 divisors (see below), whose sum is σ = 32618880. Its totient is φ = 3144960.

The previous prime is 11008111. The next prime is 11008117. The reversal of 11008116 is 61180011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11008111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6525 + ... + 8036.

It is an arithmetic number, because the mean of its divisors is an integer number (679560).

Almost surely, 211008116 is an apocalyptic number.

It is an amenable number.

11008116 is an abundant number, since it is smaller than the sum of its proper divisors (21610764).

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

11008116 is a wasteful number, since it uses less digits than its factorization.

11008116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14581 (or 14573 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11008116 is about 3317.8480977887. The cubic root of 11008116 is about 222.4526920420.

Adding to 11008116 its reverse (61180011), we get a palindrome (72188127).

It can be divided in two parts, 1100 and 8116, that added together give a square (9216 = 962).

The spelling of 11008116 in words is "eleven million, eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 14561 29122 43683 58244 87366 101927 131049 174732 203854 262098 305781 393147 407708 524196 611562 786294 917343 1223124 1572588 1834686 2752029 3669372 5504058 11008116