Base | Representation |
---|---|
bin | 10000010110010… |
… | …00101111010000 |
3 | 100120001021202000 |
4 | 20023020233100 |
5 | 240101341404 |
6 | 21335154000 |
7 | 3253434426 |
oct | 1013105720 |
9 | 316037660 |
10 | 137137104 |
11 | 70457155 |
12 | 39b15900 |
13 | 22547220 |
14 | 142db116 |
15 | c08d339 |
hex | 82c8bd0 |
137137104 has 80 divisors (see below), whose sum is σ = 423931200. Its totient is φ = 42194304.
The previous prime is 137137103. The next prime is 137137159. The reversal of 137137104 is 401731731.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137137103) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 6594 + ... + 17825.
It is an arithmetic number, because the mean of its divisors is an integer number (5299140).
Almost surely, 2137137104 is an apocalyptic number.
It is an amenable number.
137137104 is an abundant number, since it is smaller than the sum of its proper divisors (286794096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137137104 is a wasteful number, since it uses less digits than its factorization.
137137104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24449 (or 24437 counting only the distinct ones).
The product of its (nonzero) digits is 1764, while the sum is 27.
The square root of 137137104 is about 11710.5552387579. Note that the first 3 decimals coincide. The cubic root of 137137104 is about 515.6855845506.
Adding to 137137104 its reverse (401731731), we get a palindrome (538868835).
The spelling of 137137104 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, one hundred four".
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