Base | Representation |
---|---|
bin | 1111110010101… |
… | …00000111100000 |
3 | 100020020220222120 |
4 | 13321110013200 |
5 | 232402340440 |
6 | 21051104240 |
7 | 3165635454 |
oct | 771240740 |
9 | 306226876 |
10 | 132465120 |
11 | 68856007 |
12 | 38442080 |
13 | 2159c838 |
14 | 13842664 |
15 | b968dd0 |
hex | 7e541e0 |
132465120 has 48 divisors (see below), whose sum is σ = 417266640. Its totient is φ = 35323904.
The previous prime is 132465103. The next prime is 132465133. The reversal of 132465120 is 21564231.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×1324651202 = 35094016033228800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 137505 + ... + 138464.
It is an arithmetic number, because the mean of its divisors is an integer number (8693055).
Almost surely, 2132465120 is an apocalyptic number.
132465120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
132465120 is an abundant number, since it is smaller than the sum of its proper divisors (284801520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132465120 is a wasteful number, since it uses less digits than its factorization.
132465120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275987 (or 275979 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 132465120 is about 11509.3492431154. The cubic root of 132465120 is about 509.7616725741.
The spelling of 132465120 in words is "one hundred thirty-two million, four hundred sixty-five thousand, one hundred twenty".
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