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11148984 = 23327112011
BaseRepresentation
bin101010100001…
…111010111000
3202222102112100
4222201322320
510323231414
61034543400
7163523220
oct52417270
922872470
1011148984
116325440
123897b60
132404842
1416a3080
15ea3609
hexaa1eb8

11148984 has 96 divisors (see below), whose sum is σ = 37664640. Its totient is φ = 2894400.

The previous prime is 11148983. The next prime is 11148989. The reversal of 11148984 is 48984111.

11148984 is digitally balanced in base 2, because in such base 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11148983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4539 + ... + 6549.

It is an arithmetic number, because the mean of its divisors is an integer number (392340).

Almost surely, 211148984 is an apocalyptic number.

11148984 is a gapful number since it is divisible by the number (14) 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 11148984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18832320).

11148984 is an abundant number, since it is smaller than the sum of its proper divisors (26515656).

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

11148984 is a wasteful number, since it uses less digits than its factorization.

11148984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2034 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11148984 is about 3339.0094339489. The cubic root of 11148984 is about 223.3975627742.

The spelling of 11148984 in words is "eleven million, one hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2011 2772 4022 5544 6033 8044 12066 14077 16088 18099 22121 24132 28154 36198 42231 44242 48264 56308 66363 72396 84462 88484 112616 126693 132726 144792 154847 168924 176968 199089 253386 265452 309694 337848 398178 464541 506772 530904 619388 796356 929082 1013544 1238776 1393623 1592712 1858164 2787246 3716328 5574492 11148984