| Base | Representation |
|---|---|
| bin | 1111110010001… |
| … | …00010011000000 |
| 3 | 100020010122002120 |
| 4 | 13321010103000 |
| 5 | 232343302240 |
| 6 | 21045444240 |
| 7 | 3165245523 |
| oct | 771042300 |
| 9 | 306118076 |
| 10 | 132400320 |
| 11 | 68811358 |
| 12 | 38410680 |
| 13 | 215791b0 |
| 14 | 13826bba |
| 15 | b954ad0 |
| hex | 7e444c0 |
132400320 has 168 divisors, whose sum is σ = 457145136. Its totient is φ = 32274432.
The previous prime is 132400309. The next prime is 132400327. The reversal of 132400320 is 23004231.
It is a super-2 number, since 2×1324003202 = 35059689472204800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 132400320.
It is not an unprimeable number, because it can be changed into a prime (132400327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285389 + ... + 1285491.
It is an arithmetic number, because the mean of its divisors is an integer number (2721102).
Almost surely, 2132400320 is an apocalyptic number.
132400320 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 132400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228572568).
132400320 is an abundant number, since it is smaller than the sum of its proper divisors (324744816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132400320 is a wasteful number, since it uses less digits than its factorization.
132400320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 239 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 132400320 is about 11506.5337960656. The cubic root of 132400320 is about 509.6785363639.
Adding to 132400320 its reverse (23004231), we get a palindrome (155404551).
The spelling of 132400320 in words is "one hundred thirty-two million, four hundred thousand, three hundred twenty".
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