Base | Representation |
---|---|
bin | 1111110000001… |
… | …11010000110000 |
3 | 100012122221011022 |
4 | 13320013100300 |
5 | 232312302240 |
6 | 21040235012 |
7 | 3163154621 |
oct | 770072060 |
9 | 305587138 |
10 | 132150320 |
11 | 68660545 |
12 | 3830ba68 |
13 | 214bc473 |
14 | 1379da48 |
15 | b9059b5 |
hex | 7e07430 |
132150320 has 80 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 49727232.
The previous prime is 132150313. The next prime is 132150349. The reversal of 132150320 is 23051231.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1321503202 = 34927414152204800, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344849 + ... + 345231.
It is an arithmetic number, because the mean of its divisors is an integer number (4071168).
Almost surely, 2132150320 is an apocalyptic number.
132150320 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 132150320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).
132150320 is an abundant number, since it is smaller than the sum of its proper divisors (193543120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132150320 is a wasteful number, since it uses less digits than its factorization.
132150320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 642 (or 636 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 17.
The square root of 132150320 is about 11495.6652700050. The cubic root of 132150320 is about 509.3575403703.
The spelling of 132150320 in words is "one hundred thirty-two million, one hundred fifty thousand, three hundred twenty".
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