Base | Representation |
---|---|
bin | 1111110110100… |
… | …10011100100000 |
3 | 100021020012210000 |
4 | 13323102130200 |
5 | 233020420220 |
6 | 21110140000 |
7 | 3203222154 |
oct | 773223440 |
9 | 307205700 |
10 | 132982560 |
11 | 69079847 |
12 | 38651600 |
13 | 21721209 |
14 | 13939064 |
15 | ba1c390 |
hex | 7ed2720 |
132982560 has 240 divisors, whose sum is σ = 485920512. Its totient is φ = 34214400.
The previous prime is 132982547. The next prime is 132982583. The reversal of 132982560 is 65289231.
132982560 is a `hidden beast` number, since 1 + 3 + 2 + 98 + 2 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1329825602 = 35368722528307200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401595 + ... + 401925.
Almost surely, 2132982560 is an apocalyptic number.
132982560 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 132982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242960256).
132982560 is an abundant number, since it is smaller than the sum of its proper divisors (352937952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132982560 is a wasteful number, since it uses less digits than its factorization.
132982560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 389 (or 372 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 132982560 is about 11531.8064499887. The cubic root of 132982560 is about 510.4245599631.
The spelling of 132982560 in words is "one hundred thirty-two million, nine hundred eighty-two thousand, five hundred sixty".
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