Base | Representation |
---|---|
bin | 1110110000001001… |
… | …1001100010000000 |
3 | 101012222112110212200 |
4 | 3230002121202000 |
5 | 31102233124330 |
6 | 1452541353200 |
7 | 200063612433 |
oct | 35402314200 |
9 | 11188473780 |
10 | 3960051840 |
11 | 1752389618 |
12 | 926268800 |
13 | 4b1575654 |
14 | 297d1581a |
15 | 1829d3a60 |
hex | ec099880 |
3960051840 has 192 divisors, whose sum is σ = 13740330240. Its totient is φ = 1050937344.
The previous prime is 3960051811. The next prime is 3960051883. The reversal of 3960051840 is 481500693.
3960051840 is a `hidden beast` number, since 3 + 9 + 600 + 5 + 1 + 8 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
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 = 3960051795 and 3960051804.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 1282939 + ... + 1286021.
It is an arithmetic number, because the mean of its divisors is an integer number (71564220).
Almost surely, 23960051840 is an apocalyptic number.
3960051840 is a gapful number since it is divisible by the number (30) 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 3960051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870165120).
3960051840 is an abundant number, since it is smaller than the sum of its proper divisors (9780278400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3960051840 is a wasteful number, since it uses less digits than its factorization.
3960051840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3331 (or 3316 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 3960051840 is about 62928.9427846996. The cubic root of 3960051840 is about 1582.0988823370.
The spelling of 3960051840 in words is "three billion, nine hundred sixty million, fifty-one thousand, eight hundred forty".
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