| Base | Representation |
|---|---|
| bin | 1111110100100… |
| … | …11001010100000 |
| 3 | 100020202001020000 |
| 4 | 13322103022200 |
| 5 | 232434121420 |
| 6 | 21100420000 |
| 7 | 3201062400 |
| oct | 772231240 |
| 9 | 306661200 |
| 10 | 132723360 |
| 11 | 68a12030 |
| 12 | 38547600 |
| 13 | 21660243 |
| 14 | 138ac800 |
| 15 | b9ba690 |
| hex | 7e932a0 |
132723360 has 720 divisors, whose sum is σ = 625695840. Its totient is φ = 26127360.
The previous prime is 132723337. The next prime is 132723361. The reversal of 132723360 is 63327231.
132723360 is a `hidden beast` number, since 1 + 327 + 2 + 336 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
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 (132723361) 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 119 ways as a sum of consecutive naturals, for example, 6985431 + ... + 6985449.
It is an arithmetic number, because the mean of its divisors is an integer number (869022).
Almost surely, 2132723360 is an apocalyptic number.
132723360 is a gapful number since it is divisible by the number (10) 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 132723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312847920).
132723360 is an abundant number, since it is smaller than the sum of its proper divisors (492972480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132723360 is a wasteful number, since it uses less digits than its factorization.
132723360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 4536, while the sum is 27.
The square root of 132723360 is about 11520.5624862678. The cubic root of 132723360 is about 510.0927167073.
132723360 divided by its sum of digits (27) gives a triangular number (4915680 = T3135).
The spelling of 132723360 in words is "one hundred thirty-two million, seven hundred twenty-three thousand, three hundred sixty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.064 sec. • engine limits •