Base | Representation |
---|---|
bin | 101101110100… |
… | …000110100000 |
3 | 211121011110200 |
4 | 231310012200 |
5 | 11033304023 |
6 | 1105225200 |
7 | 204040152 |
oct | 55640640 |
9 | 24534420 |
10 | 12009888 |
11 | 6863230 |
12 | 4032200 |
13 | 2646657 |
14 | 1848ad2 |
15 | 10c3743 |
hex | b741a0 |
12009888 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3409920.
The previous prime is 12009869. The next prime is 12009901. The reversal of 12009888 is 88890021.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53745 + ... + 53967.
It is an arithmetic number, because the mean of its divisors is an integer number (275184).
Almost surely, 212009888 is an apocalyptic number.
12009888 is a gapful number since it is divisible by the number (18) 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 12009888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).
12009888 is an abundant number, since it is smaller than the sum of its proper divisors (27616608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12009888 is a wasteful number, since it uses less digits than its factorization.
12009888 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 267 (or 256 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 36.
The square root of 12009888 is about 3465.5285311190. The cubic root of 12009888 is about 229.0057142158.
The spelling of 12009888 in words is "twelve million, nine thousand, eight hundred eighty-eight".
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