Base | Representation |
---|---|
bin | 101100110011… |
… | …001010110000 |
3 | 211002122122000 |
4 | 230303022300 |
5 | 11001301140 |
6 | 1055414000 |
7 | 201551556 |
oct | 54631260 |
9 | 24078560 |
10 | 11743920 |
11 | 66a1421 |
12 | 3b24300 |
13 | 2582586 |
14 | 17b9bd6 |
15 | 106ea30 |
hex | b332b0 |
11743920 has 80 divisors (see below), whose sum is σ = 40458720. Its totient is φ = 3131136.
The previous prime is 11743909. The next prime is 11743931. The reversal of 11743920 is 2934711.
It is an interprime number because it is at equal distance from previous prime (11743909) and next prime (11743931).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 559 + ... + 4878.
It is an arithmetic number, because the mean of its divisors is an integer number (505734).
Almost surely, 211743920 is an apocalyptic number.
11743920 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 11743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229360).
11743920 is an abundant number, since it is smaller than the sum of its proper divisors (28714800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11743920 is a wasteful number, since it uses less digits than its factorization.
11743920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5459 (or 5447 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 27.
The square root of 11743920 is about 3426.9403262969. The cubic root of 11743920 is about 227.3025779943.
The spelling of 11743920 in words is "eleven million, seven hundred forty-three thousand, nine hundred twenty".
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