Base | Representation |
---|---|
bin | 10000000100000… |
… | …10011100100000 |
3 | 100101120010001000 |
4 | 20002002130200 |
5 | 233444031112 |
6 | 21212112000 |
7 | 3224242032 |
oct | 1002023440 |
9 | 311503030 |
10 | 134752032 |
11 | 6a078218 |
12 | 39165600 |
13 | 21bc073c |
14 | 13c79c52 |
15 | bc6b7dc |
hex | 8082720 |
134752032 has 96 divisors (see below), whose sum is σ = 410175360. Its totient is φ = 42958080.
The previous prime is 134752027. The next prime is 134752043. The reversal of 134752032 is 230257431.
134752032 is a `hidden beast` number, since 134 + 7 + 520 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1347520322 = 36316220256258048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 134751987 and 134752005.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16482 + ... + 23262.
It is an arithmetic number, because the mean of its divisors is an integer number (4272660).
Almost surely, 2134752032 is an apocalyptic number.
134752032 is a gapful number since it is divisible by the number (12) 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 134752032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205087680).
134752032 is an abundant number, since it is smaller than the sum of its proper divisors (275423328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134752032 is a wasteful number, since it uses less digits than its factorization.
134752032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6823 (or 6809 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 134752032 is about 11608.2742903500. The cubic root of 134752032 is about 512.6785031188.
The spelling of 134752032 in words is "one hundred thirty-four million, seven hundred fifty-two thousand, thirty-two".
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