Base | Representation |
---|---|
bin | 101010011111… |
… | …101110010000 |
3 | 202221222012000 |
4 | 222133232100 |
5 | 10322434414 |
6 | 1034434000 |
7 | 163455042 |
oct | 52375620 |
9 | 22858160 |
10 | 11139984 |
11 | 63196a9 |
12 | 3892900 |
13 | 240070b |
14 | 169da92 |
15 | ea0b09 |
hex | a9fb90 |
11139984 has 80 divisors (see below), whose sum is σ = 32408640. Its totient is φ = 3663360.
The previous prime is 11139979. The next prime is 11139991. The reversal of 11139984 is 48993111.
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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46104 + ... + 46344.
It is an arithmetic number, because the mean of its divisors is an integer number (405108).
Almost surely, 211139984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11139984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204320).
11139984 is an abundant number, since it is smaller than the sum of its proper divisors (21268656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11139984 is a wasteful number, since it uses less digits than its factorization.
11139984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 365 (or 353 counting only the distinct ones).
The product of its digits is 7776, while the sum is 36.
The square root of 11139984 is about 3337.6614567688. The cubic root of 11139984 is about 223.3374341466.
The spelling of 11139984 in words is "eleven million, one hundred thirty-nine thousand, nine hundred eighty-four".
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