Base | Representation |
---|---|
bin | 1110110010000001… |
… | …1110011011110000 |
3 | 101020112101001020111 |
4 | 3230200132123300 |
5 | 31111242424430 |
6 | 1453422351104 |
7 | 200220621142 |
oct | 35440363360 |
9 | 11215331214 |
10 | 3967936240 |
11 | 1756884254 |
12 | 928a2b494 |
13 | 4b30a6288 |
14 | 298da8c92 |
15 | 18353ec2a |
hex | ec81e6f0 |
3967936240 has 80 divisors (see below), whose sum is σ = 9559441728. Its totient is φ = 1530482688.
The previous prime is 3967936237. The next prime is 3967936279. The reversal of 3967936240 is 426397693.
3967936240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328549 + ... + 340411.
Almost surely, 23967936240 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3967936240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779720864).
3967936240 is an abundant number, since it is smaller than the sum of its proper divisors (5591505488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3967936240 is a wasteful number, since it uses less digits than its factorization.
3967936240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12026 (or 12020 counting only the distinct ones).
The product of its (nonzero) digits is 1469664, while the sum is 49.
The square root of 3967936240 is about 62991.5568945553. The cubic root of 3967936240 is about 1583.1481641504.
The spelling of 3967936240 in words is "three billion, nine hundred sixty-seven million, nine hundred thirty-six thousand, two hundred forty".
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