Base | Representation |
---|---|
bin | 10000000010011… |
… | …01101101100000 |
3 | 100101011010202000 |
4 | 20001031231200 |
5 | 233420123112 |
6 | 21203324000 |
7 | 3222352221 |
oct | 1001155540 |
9 | 311133660 |
10 | 134536032 |
11 | 69a3aa04 |
12 | 39080600 |
13 | 21b46327 |
14 | 13c21248 |
15 | bc277dc |
hex | 804db60 |
134536032 has 96 divisors (see below), whose sum is σ = 405135360. Its totient is φ = 43390080.
The previous prime is 134536021. The next prime is 134536057. The reversal of 134536032 is 230635431.
It is a happy number.
134536032 is a `hidden beast` number, since 1 + 3 + 4 + 53 + 603 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
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 = 134535987 and 134536005.
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, 24273 + ... + 29295.
It is an arithmetic number, because the mean of its divisors is an integer number (4220160).
Almost surely, 2134536032 is an apocalyptic number.
134536032 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 134536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202567680).
134536032 is an abundant number, since it is smaller than the sum of its proper divisors (270599328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134536032 is a wasteful number, since it uses less digits than its factorization.
134536032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5073 (or 5059 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
The square root of 134536032 is about 11598.9668505432. The cubic root of 134536032 is about 512.4044249298.
The spelling of 134536032 in words is "one hundred thirty-four million, five hundred thirty-six thousand, thirty-two".
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