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11099116 = 2271931673
BaseRepresentation
bin101010010101…
…101111101100
3202212220010101
4222111233230
510320132431
61033520444
7163224640
oct52255754
922786111
1011099116
1162a0a26
123873124
1323b7c32
14168cc20
15e93961
hexa95bec

11099116 has 48 divisors (see below), whose sum is σ = 24156160. Its totient is φ = 4354560.

The previous prime is 11099111. The next prime is 11099119. The reversal of 11099116 is 61199011.

11099116 is nontrivially palindromic in base 11.

11099116 is a nontrivial binomial coefficient, being equal to C(4712, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11099111) 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, 16156 + ... + 16828.

Almost surely, 211099116 is an apocalyptic number.

11099116 is the 4711-st triangular number and also the 2356-th hexagonal number.

11099116 is the 1571-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11099116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12078080).

11099116 is an abundant number, since it is smaller than the sum of its proper divisors (13057044).

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

11099116 is a wasteful number, since it uses less digits than its factorization.

11099116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 28.

The square root of 11099116 is about 3331.5335808003. The cubic root of 11099116 is about 223.0639885546.

The spelling of 11099116 in words is "eleven million, ninety-nine thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 673 868 1178 1346 2356 2692 4123 4711 8246 9422 12787 16492 18844 20863 25574 41726 51148 83452 89509 146041 179018 292082 358036 396397 584164 792794 1585588 2774779 5549558 11099116