Base | Representation |
---|---|
bin | 1111110001111… |
… | …10110001011000 |
3 | 100020002111001100 |
4 | 13320332301120 |
5 | 232342041223 |
6 | 21045151400 |
7 | 3165122532 |
oct | 770766130 |
9 | 306074040 |
10 | 132377688 |
11 | 687a6353 |
12 | 383bb560 |
13 | 2156bac1 |
14 | 1381c852 |
15 | b94d043 |
hex | 7e3ec58 |
132377688 has 96 divisors (see below), whose sum is σ = 373800960. Its totient is φ = 42275520.
The previous prime is 132377683. The next prime is 132377699. The reversal of 132377688 is 886773231.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132377681) 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, 283231 + ... + 283697.
It is an arithmetic number, because the mean of its divisors is an integer number (3893760).
Almost surely, 2132377688 is an apocalyptic number.
132377688 is a gapful number since it is divisible by the number (18) 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 132377688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186900480).
132377688 is an abundant number, since it is smaller than the sum of its proper divisors (241423272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132377688 is a wasteful number, since it uses less digits than its factorization.
132377688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 637 (or 630 counting only the distinct ones).
The product of its digits is 338688, while the sum is 45.
The square root of 132377688 is about 11505.5503127838. The cubic root of 132377688 is about 509.6494938813.
The spelling of 132377688 in words is "one hundred thirty-two million, three hundred seventy-seven thousand, six hundred eighty-eight".
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