Base | Representation |
---|---|
bin | 1110100001111111… |
… | …0100011101010000 |
3 | 101001211202211100000 |
4 | 3220133310131100 |
5 | 30442031433230 |
6 | 1443020330000 |
7 | 165443011203 |
oct | 35037643520 |
9 | 11054684300 |
10 | 3900655440 |
11 | 1721900190 |
12 | 90a3a3900 |
13 | 4a217a356 |
14 | 29009393a |
15 | 17c69eb60 |
hex | e87f4750 |
3900655440 has 960 divisors, whose sum is σ = 16671432960. Its totient is φ = 836075520.
The previous prime is 3900655433. The next prime is 3900655441. The reversal of 3900655440 is 445560093.
It is a happy number.
It is a super-2 number, since 2×39006554402 = 30430225723203187200, which contains 22 as substring.
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 = 3900655395 and 3900655404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3900655441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105423102 + ... + 105423138.
It is an arithmetic number, because the mean of its divisors is an integer number (17366076).
Almost surely, 23900655440 is an apocalyptic number.
3900655440 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 3900655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335716480).
3900655440 is an abundant number, since it is smaller than the sum of its proper divisors (12770777520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3900655440 is a wasteful number, since it uses less digits than its factorization.
3900655440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122 (or 104 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 36.
The square root of 3900655440 is about 62455.2274833740. The cubic root of 3900655440 is about 1574.1490913918.
The spelling of 3900655440 in words is "three billion, nine hundred million, six hundred fifty-five thousand, four hundred forty".
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