Base | Representation |
---|---|
bin | 101110100000… |
… | …111011010000 |
3 | 211221111022200 |
4 | 232200323100 |
5 | 11110142423 |
6 | 1113203200 |
7 | 205433346 |
oct | 56407320 |
9 | 24844280 |
10 | 12193488 |
11 | 697916a |
12 | 4100500 |
13 | 26ac0a8 |
14 | 1895996 |
15 | 110cd43 |
hex | ba0ed0 |
12193488 has 90 divisors (see below), whose sum is σ = 36373974. Its totient is φ = 3812352.
The previous prime is 12193487. The next prime is 12193499. The reversal of 12193488 is 88439121.
It can be written as a sum of positive squares in 3 ways, for example, as 8225424 + 3968064 = 2868^2 + 1992^2 .
It is a super-2 number, since 2×121934882 = 297362299212288, which contains 22 as substring.
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 (12193483) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41470 + ... + 41762.
Almost surely, 212193488 is an apocalyptic number.
12193488 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 12193488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186987).
12193488 is an abundant number, since it is smaller than the sum of its proper divisors (24180486).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12193488 is a wasteful number, since it uses less digits than its factorization.
12193488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 341 (or 315 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 12193488 is about 3491.9175247992. The cubic root of 12193488 is about 230.1667851382.
The spelling of 12193488 in words is "twelve million, one hundred ninety-three thousand, four hundred eighty-eight".
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