Base | Representation |
---|---|
bin | 1111101111011… |
… | …11110010110000 |
3 | 100012111001022000 |
4 | 13313233302300 |
5 | 232301213232 |
6 | 21034214000 |
7 | 3162304434 |
oct | 767576260 |
9 | 305431260 |
10 | 132054192 |
11 | 685a52a6 |
12 | 38284300 |
13 | 2148779a |
14 | 137769c4 |
15 | b8d727c |
hex | 7defcb0 |
132054192 has 80 divisors (see below), whose sum is σ = 380928000. Its totient is φ = 43799616.
The previous prime is 132054179. The next prime is 132054193. The reversal of 132054192 is 291450231.
132054192 is a `hidden beast` number, since 1 + 32 + 0 + 541 + 92 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (132054193) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102609 + ... + 103887.
It is an arithmetic number, because the mean of its divisors is an integer number (4761600).
Almost surely, 2132054192 is an apocalyptic number.
132054192 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 132054192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190464000).
132054192 is an abundant number, since it is smaller than the sum of its proper divisors (248873808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132054192 is a wasteful number, since it uses less digits than its factorization.
132054192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1535 (or 1523 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 132054192 is about 11491.4834551506. The cubic root of 132054192 is about 509.2340058008.
The spelling of 132054192 in words is "one hundred thirty-two million, fifty-four thousand, one hundred ninety-two".
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