Base | Representation |
---|---|
bin | 1011111110100011000000 |
3 | 12220111222000 |
4 | 23332203000 |
5 | 1300433101 |
6 | 151144000 |
7 | 35454603 |
oct | 13764300 |
9 | 5814860 |
10 | 3139776 |
11 | 1854a62 |
12 | 1075000 |
13 | 85c173 |
14 | 5ba33a |
15 | 420486 |
hex | 2fe8c0 |
3139776 has 112 divisors (see below), whose sum is σ = 9753600. Its totient is φ = 988416.
The previous prime is 3139771. The next prime is 3139789. The reversal of 3139776 is 6779313.
3139776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 3139776.
It is not an unprimeable number, because it can be changed into a prime (3139771) 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 15 ways as a sum of consecutive naturals, for example, 39705 + ... + 39783.
Almost surely, 23139776 is an apocalyptic number.
3139776 is a gapful number since it is divisible by the number (36) 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 3139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876800).
3139776 is an abundant number, since it is smaller than the sum of its proper divisors (6613824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3139776 is a wasteful number, since it uses less digits than its factorization.
3139776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123 (or 107 counting only the distinct ones).
The product of its digits is 23814, while the sum is 36.
The square root of 3139776 is about 1771.9413082831. The cubic root of 3139776 is about 146.4309528748.
The spelling of 3139776 in words is "three million, one hundred thirty-nine thousand, seven hundred seventy-six".
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