Base | Representation |
---|---|
bin | 101101101001011… |
… | …1101001011100000 |
3 | 10221202011012200120 |
4 | 1123102331023200 |
5 | 11114103231330 |
6 | 411553320240 |
7 | 52646125353 |
oct | 13322751340 |
9 | 3852135616 |
10 | 1531695840 |
11 | 716669834 |
12 | 368b66080 |
13 | 1b543c0cc |
14 | 1075d429a |
15 | 8e70ac10 |
hex | 5b4bd2e0 |
1531695840 has 96 divisors (see below), whose sum is σ = 4852068480. Its totient is φ = 406147584.
The previous prime is 1531695839. The next prime is 1531695853. The reversal of 1531695840 is 485961351.
1531695840 is digitally balanced in base 4 and base 6, because in such bases 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 (96).
It is a junction number, because it is equal to n+sod(n) for n = 1531695792 and 1531695801.
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, 77007 + ... + 94833.
It is an arithmetic number, because the mean of its divisors is an integer number (50542380).
Almost surely, 21531695840 is an apocalyptic number.
1531695840 is a gapful number since it is divisible by the number (10) 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 1531695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426034240).
1531695840 is an abundant number, since it is smaller than the sum of its proper divisors (3320372640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1531695840 is a wasteful number, since it uses less digits than its factorization.
1531695840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18024 (or 18016 counting only the distinct ones).
The product of its (nonzero) digits is 129600, while the sum is 42.
The square root of 1531695840 is about 39136.8859261950. The cubic root of 1531695840 is about 1152.7209270257.
It can be divided in two parts, 15316 and 95840, that added together give a triangular number (111156 = T471).
The spelling of 1531695840 in words is "one billion, five hundred thirty-one million, six hundred ninety-five thousand, eight hundred forty".
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