Base | Representation |
---|---|
bin | 10011000000001… |
… | …10010100100000 |
3 | 102002221211122100 |
4 | 21200012110200 |
5 | 311302100230 |
6 | 23452410400 |
7 | 3643646361 |
oct | 1140062440 |
9 | 362854570 |
10 | 159409440 |
11 | 81a89743 |
12 | 45476a00 |
13 | 27044a18 |
14 | 17257b68 |
15 | dedc660 |
hex | 9806520 |
159409440 has 144 divisors (see below), whose sum is σ = 561689856. Its totient is φ = 41126400.
The previous prime is 159409429. The next prime is 159409441. The reversal of 159409440 is 44904951.
It is a happy number.
159409440 is a nontrivial binomial coefficient, being equal to C(17856, 2).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1594094402 = 50822739122227200, 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 = 159409395 and 159409404.
It is not an unprimeable number, because it can be changed into a prime (159409441) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42855 + ... + 46425.
It is an arithmetic number, because the mean of its divisors is an integer number (3900624).
Almost surely, 2159409440 is an apocalyptic number.
159409440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
159409440 is the 17855-th triangular number and also the 8928-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 159409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280844928).
159409440 is an abundant number, since it is smaller than the sum of its proper divisors (402280416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
159409440 is a wasteful number, since it uses less digits than its factorization.
159409440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3623 (or 3612 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 159409440 is about 12625.7451265262. The cubic root of 159409440 is about 542.2147721612.
The spelling of 159409440 in words is "one hundred fifty-nine million, four hundred nine thousand, four hundred forty".
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