Base | Representation |
---|---|
bin | 1111101111110… |
… | …11001110110000 |
3 | 100012120102120010 |
4 | 13313323032300 |
5 | 232304213130 |
6 | 21035214520 |
7 | 3162561141 |
oct | 767731660 |
9 | 305512503 |
10 | 132101040 |
11 | 68627515 |
12 | 382a7440 |
13 | 214a2bc6 |
14 | 13789ac8 |
15 | b8e60b0 |
hex | 7dfb3b0 |
132101040 has 80 divisors (see below), whose sum is σ = 411911136. Its totient is φ = 35020800.
The previous prime is 132101027. The next prime is 132101041. The reversal of 132101040 is 40101231.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (132101041) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41920 + ... + 44960.
Almost surely, 2132101040 is an apocalyptic number.
132101040 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 132101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205955568).
132101040 is an abundant number, since it is smaller than the sum of its proper divisors (279810096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132101040 is a wasteful number, since it uses less digits than its factorization.
132101040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 132101040 is about 11493.5216535229. The cubic root of 132101040 is about 509.2942178843.
Adding to 132101040 its reverse (40101231), we get a palindrome (172202271).
The spelling of 132101040 in words is "one hundred thirty-two million, one hundred one thousand, forty".
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