Base | Representation |
---|---|
bin | 1111110010000… |
… | …10011010110000 |
3 | 100020010020112112 |
4 | 13321002122300 |
5 | 232343030444 |
6 | 21045344452 |
7 | 3165214220 |
oct | 771023260 |
9 | 306106475 |
10 | 132392624 |
11 | 688065a1 |
12 | 38408128 |
13 | 21575840 |
14 | 13824080 |
15 | b95269e |
hex | 7e426b0 |
132392624 has 80 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 51667200.
The previous prime is 132392597. The next prime is 132392629. The reversal of 132392624 is 426293231.
It is not an unprimeable number, because it can be changed into a prime (132392629) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114449 + ... + 115599.
It is an arithmetic number, because the mean of its divisors is an integer number (3999744).
Almost surely, 2132392624 is an apocalyptic number.
132392624 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 132392624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).
132392624 is an abundant number, since it is smaller than the sum of its proper divisors (187586896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132392624 is a wasteful number, since it uses less digits than its factorization.
132392624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).
The product of its digits is 15552, while the sum is 32.
The square root of 132392624 is about 11506.1993725122. The cubic root of 132392624 is about 509.6686608540.
The spelling of 132392624 in words is "one hundred thirty-two million, three hundred ninety-two thousand, six hundred twenty-four".
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