Base | Representation |
---|---|
bin | 111110001100101… |
… | …1001001111000000 |
3 | 12101110010012100000 |
4 | 1330121121033000 |
5 | 13233240003434 |
6 | 543032200000 |
7 | 102501322440 |
oct | 17431311700 |
9 | 5343105300 |
10 | 2087031744 |
11 | 981090926 |
12 | 4a2b39000 |
13 | 2734ca235 |
14 | 15b272120 |
15 | c3354b99 |
hex | 7c6593c0 |
2087031744 has 336 divisors, whose sum is σ = 7470444800. Its totient is φ = 564350976.
The previous prime is 2087031701. The next prime is 2087031761. The reversal of 2087031744 is 4471307802.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2087031699 and 2087031708.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067912 + ... + 2068920.
Almost surely, 22087031744 is an apocalyptic number.
2087031744 is a gapful number since it is divisible by the number (24) 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 2087031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735222400).
2087031744 is an abundant number, since it is smaller than the sum of its proper divisors (5383413056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2087031744 is a wasteful number, since it uses less digits than its factorization.
2087031744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1062 (or 1040 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 2087031744 is about 45684.0425531717. The cubic root of 2087031744 is about 1277.9377077355.
The spelling of 2087031744 in words is "two billion, eighty-seven million, thirty-one thousand, seven hundred forty-four".
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