Base | Representation |
---|---|
bin | 1111101111011… |
… | …11100000011100 |
3 | 100012110222200121 |
4 | 13313233200130 |
5 | 232301144040 |
6 | 21034204324 |
7 | 3162301141 |
oct | 767574034 |
9 | 305428617 |
10 | 132053020 |
11 | 685a4430 |
12 | 382836a4 |
13 | 214870a8 |
14 | 137763c8 |
15 | b8d6c4a |
hex | 7def81c |
132053020 has 24 divisors (see below), whose sum is σ = 302521968. Its totient is φ = 48019200.
The previous prime is 132053011. The next prime is 132053029. The reversal of 132053020 is 20350231.
132053020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (132053011) and next prime (132053029).
It is a super-2 number, since 2×1320530202 = 34876000182240800, which contains 22 as substring.
132053020 is strictly pandigital in base 9.
It is a junction number, because it is equal to n+sod(n) for n = 132052985 and 132053003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132053029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299901 + ... + 300340.
It is an arithmetic number, because the mean of its divisors is an integer number (12605082).
Almost surely, 2132053020 is an apocalyptic number.
132053020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
132053020 is an abundant number, since it is smaller than the sum of its proper divisors (170468948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132053020 is a wasteful number, since it uses less digits than its factorization.
132053020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 600261 (or 600259 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 132053020 is about 11491.4324607509. The cubic root of 132053020 is about 509.2324992879.
The spelling of 132053020 in words is "one hundred thirty-two million, fifty-three thousand, twenty".
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