Base | Representation |
---|---|
bin | 111100100010111… |
… | …1011010001100000 |
3 | 12020120210210200000 |
4 | 1321011323101200 |
5 | 13130042043030 |
6 | 533332100000 |
7 | 101226200163 |
oct | 17105732140 |
9 | 5216723600 |
10 | 2031596640 |
11 | 952868697 |
12 | 488464600 |
13 | 264b8acb8 |
14 | 153b61ada |
15 | bd554860 |
hex | 7917b460 |
2031596640 has 144 divisors (see below), whose sum is σ = 7189732368. Its totient is φ = 541748736.
The previous prime is 2031596639. The next prime is 2031596657. The reversal of 2031596640 is 466951302.
It is a happy number.
2031596640 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 5 + 9 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 6.
It is a junction number, because it is equal to n+sod(n) for n = 2031596595 and 2031596604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12754 + ... + 65006.
It is an arithmetic number, because the mean of its divisors is an integer number (49928697).
Almost surely, 22031596640 is an apocalyptic number.
2031596640 is a gapful number since it is divisible by the number (20) 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 2031596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594866184).
2031596640 is an abundant number, since it is smaller than the sum of its proper divisors (5158135728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2031596640 is an equidigital number, since it uses as much as digits as its factorization.
2031596640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52283 (or 52263 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 2031596640 is about 45073.2364047669. The cubic root of 2031596640 is about 1266.5212920264.
The spelling of 2031596640 in words is "two billion, thirty-one million, five hundred ninety-six thousand, six hundred forty".
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