| Base | Representation |
|---|---|
| bin | 101101101101… |
| … | …100001110000 |
| 3 | 211112210112100 |
| 4 | 231231201300 |
| 5 | 11031423320 |
| 6 | 1104500400 |
| 7 | 203565513 |
| oct | 55554160 |
| 9 | 24483470 |
| 10 | 11982960 |
| 11 | 6844a80 |
| 12 | 401a700 |
| 13 | 2637312 |
| 14 | 183cd7a |
| 15 | 10ba790 |
| hex | b6d870 |
11982960 has 240 divisors, whose sum is σ = 47005920. Its totient is φ = 2703360.
The previous prime is 11982953. The next prime is 11982961. The reversal of 11982960 is 6928911.
11982960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
11982960 is a nontrivial binomial coefficient, being equal to C(4896, 2).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11982961) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134596 + ... + 134684.
It is an arithmetic number, because the mean of its divisors is an integer number (195858).
Almost surely, 211982960 is an apocalyptic number.
11982960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
11982960 is the 4895-th triangular number and also the 2448-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502960).
11982960 is an abundant number, since it is smaller than the sum of its proper divisors (35022960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11982960 is a wasteful number, since it uses less digits than its factorization.
11982960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 136 (or 127 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 36.
The square root of 11982960 is about 3461.6412292437. The cubic root of 11982960 is about 228.8344308952.
The spelling of 11982960 in words is "eleven million, nine hundred eighty-two thousand, nine hundred sixty".
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