Base | Representation |
---|---|
bin | 10000010101101… |
… | …10001010010000 |
3 | 100112220102100122 |
4 | 20022312022100 |
5 | 240041423013 |
6 | 21333405412 |
7 | 3252666530 |
oct | 1012661220 |
9 | 315812318 |
10 | 137061008 |
11 | 70404a67 |
12 | 39a99868 |
13 | 2251b6b6 |
14 | 142bb4c0 |
15 | c075a08 |
hex | 82b6290 |
137061008 has 40 divisors (see below), whose sum is σ = 306355392. Its totient is φ = 58186368.
The previous prime is 137060999. The next prime is 137061031. The reversal of 137061008 is 800160731.
137061008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6266 + ... + 17702.
Almost surely, 2137061008 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 137061008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153177696).
137061008 is an abundant number, since it is smaller than the sum of its proper divisors (169294384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137061008 is a wasteful number, since it uses less digits than its factorization.
137061008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11559 (or 11553 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 26.
The square root of 137061008 is about 11707.3057532466. The cubic root of 137061008 is about 515.5901839877.
The spelling of 137061008 in words is "one hundred thirty-seven million, sixty-one thousand, eight".
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