Base | Representation |
---|---|
bin | 101110100000… |
… | …110100010000 |
3 | 211221110201002 |
4 | 232200310100 |
5 | 11110134130 |
6 | 1113201132 |
7 | 205432136 |
oct | 56406420 |
9 | 24843632 |
10 | 12193040 |
11 | 69788a2 |
12 | 41001a8 |
13 | 26abb22 |
14 | 1895756 |
15 | 110cb45 |
hex | ba0d10 |
12193040 has 40 divisors (see below), whose sum is σ = 28545048. Its totient is φ = 4843520.
The previous prime is 12193033. The next prime is 12193081. The reversal of 12193040 is 4039121.
It can be written as a sum of positive squares in 4 ways, for example, as 1721344 + 10471696 = 1312^2 + 3236^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13400 + ... + 14280.
Almost surely, 212193040 is an apocalyptic number.
12193040 is a gapful number since it is divisible by the number (10) 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 12193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272524).
12193040 is an abundant number, since it is smaller than the sum of its proper divisors (16352008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12193040 is a wasteful number, since it uses less digits than its factorization.
12193040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
The square root of 12193040 is about 3491.8533760741. The cubic root of 12193040 is about 230.1639662570.
The spelling of 12193040 in words is "twelve million, one hundred ninety-three thousand, forty".
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