Base | Representation |
---|---|
bin | 1111110000001… |
… | …01001100111100 |
3 | 100012122111120212 |
4 | 13320011030330 |
5 | 232312020014 |
6 | 21040131552 |
7 | 3163121210 |
oct | 770051474 |
9 | 305574525 |
10 | 132141884 |
11 | 68655176 |
12 | 38306bb8 |
13 | 214b8684 |
14 | 1379a940 |
15 | b90323e |
hex | 7e0533c |
132141884 has 72 divisors (see below), whose sum is σ = 295716960. Its totient is φ = 50429952.
The previous prime is 132141883. The next prime is 132141913. The reversal of 132141884 is 488141231.
It is a happy number.
It is a super-2 number, since 2×1321418842 = 34922955014138912, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 132141884.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132141883) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171452 + ... + 172220.
It is an arithmetic number, because the mean of its divisors is an integer number (4107180).
Almost surely, 2132141884 is an apocalyptic number.
132141884 is a gapful number since it is divisible by the number (14) 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 132141884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147858480).
132141884 is an abundant number, since it is smaller than the sum of its proper divisors (163575076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132141884 is a wasteful number, since it uses less digits than its factorization.
132141884 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 835 (or 814 counting only the distinct ones).
The product of its digits is 6144, while the sum is 32.
The square root of 132141884 is about 11495.2983432358. The cubic root of 132141884 is about 509.3467016234.
The spelling of 132141884 in words is "one hundred thirty-two million, one hundred forty-one thousand, eight hundred eighty-four".
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