Base | Representation |
---|---|
bin | 1111110001001… |
… | …00010001010100 |
3 | 100012212222011001 |
4 | 13320210101110 |
5 | 232330103030 |
6 | 21042553044 |
7 | 3164161213 |
oct | 770442124 |
9 | 305788131 |
10 | 132269140 |
11 | 68731843 |
12 | 38368784 |
13 | 21531583 |
14 | 137d107a |
15 | b92acca |
hex | 7e24454 |
132269140 has 24 divisors (see below), whose sum is σ = 278118792. Its totient is φ = 52840320.
The previous prime is 132269107. The next prime is 132269141. The reversal of 132269140 is 41962231.
132269140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 10784656 + 121484484 = 3284^2 + 11022^2 .
It is a junction number, because it is equal to n+sod(n) for n = 132269099 and 132269108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132269141) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13770 + ... + 21310.
It is an arithmetic number, because the mean of its divisors is an integer number (11588283).
Almost surely, 2132269140 is an apocalyptic number.
132269140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
132269140 is an abundant number, since it is smaller than the sum of its proper divisors (145849652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132269140 is a wasteful number, since it uses less digits than its factorization.
132269140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8427 (or 8425 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 28.
The square root of 132269140 is about 11500.8321438059. The cubic root of 132269140 is about 509.5101537807.
It can be divided in two parts, 13226 and 9140, that added together give a triangular number (22366 = T211).
The spelling of 132269140 in words is "one hundred thirty-two million, two hundred sixty-nine thousand, one hundred forty".
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