| Base | Representation |
|---|---|
| bin | 101101110001… |
| … | …000111010000 |
| 3 | 211120112200100 |
| 4 | 231301013100 |
| 5 | 11032411043 |
| 6 | 1105052400 |
| 7 | 203656365 |
| oct | 55610720 |
| 9 | 24515610 |
| 10 | 11997648 |
| 11 | 6855013 |
| 12 | 4027100 |
| 13 | 2640c00 |
| 14 | 184446c |
| 15 | 10becd3 |
| hex | b711d0 |
11997648 has 180 divisors, whose sum is σ = 39824460. Its totient is φ = 3354624.
The previous prime is 11997647. The next prime is 11997649. The reversal of 11997648 is 84679911.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (11997647) and next prime (11997649).
It can be written as a sum of positive squares in 6 ways, for example, as 627264 + 11370384 = 792^2 + 3372^2 .
Its product of digits (108864) is a multiple of the sum of its prime divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11997647) 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 35 ways as a sum of consecutive naturals, for example, 413698 + ... + 413726.
It is an arithmetic number, because the mean of its divisors is an integer number (221247).
Almost surely, 211997648 is an apocalyptic number.
11997648 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 11997648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912230).
11997648 is an abundant number, since it is smaller than the sum of its proper divisors (27826812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11997648 is a wasteful number, since it uses less digits than its factorization.
11997648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86 (or 64 counting only the distinct ones).
The product of its digits is 108864, while the sum is 45.
The square root of 11997648 is about 3463.7621165432. The cubic root of 11997648 is about 228.9278899339.
The spelling of 11997648 in words is "eleven million, nine hundred ninety-seven thousand, six hundred forty-eight".
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