| Base | Representation |
|---|---|
| bin | 101100000000… |
| … | …001010000000 |
| 3 | 210201001000100 |
| 4 | 230000022000 |
| 5 | 10423104401 |
| 6 | 1051122400 |
| 7 | 200021445 |
| oct | 54001200 |
| 9 | 23631010 |
| 10 | 11534976 |
| 11 | 6569442 |
| 12 | 3a43400 |
| 13 | 250b43b |
| 14 | 17639cc |
| 15 | 102cb86 |
| hex | b00280 |
11534976 has 192 divisors, whose sum is σ = 38188800. Its totient is φ = 3317760.
The previous prime is 11534969. The next prime is 11534977. The reversal of 11534976 is 67943511.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (22680) is a multiple of the sum of its prime divisors (72).
It is a self number, because there is not a number n which added to its sum of digits gives 11534976.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11534977) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372081 + ... + 372111.
It is an arithmetic number, because the mean of its divisors is an integer number (198900).
Almost surely, 211534976 is an apocalyptic number.
11534976 is a gapful number since it is divisible by the number (16) 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 11534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).
11534976 is an abundant number, since it is smaller than the sum of its proper divisors (26653824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11534976 is a wasteful number, since it uses less digits than its factorization.
11534976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87 (or 72 counting only the distinct ones).
The product of its digits is 22680, while the sum is 36.
The square root of 11534976 is about 3396.3180063121. The cubic root of 11534976 is about 225.9464722997.
The spelling of 11534976 in words is "eleven million, five hundred thirty-four thousand, nine hundred seventy-six".
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