Base | Representation |
---|---|
bin | 1111110011110… |
… | …11001100110000 |
3 | 100020120001120110 |
4 | 13321323030300 |
5 | 232423001300 |
6 | 21054341320 |
7 | 3200203251 |
oct | 771731460 |
9 | 306501513 |
10 | 132625200 |
11 | 68955304 |
12 | 384ba840 |
13 | 21627666 |
14 | 13884b28 |
15 | b99b550 |
hex | 7e7b330 |
132625200 has 120 divisors (see below), whose sum is σ = 430528000. Its totient is φ = 34894080.
The previous prime is 132625193. The next prime is 132625247. The reversal of 132625200 is 2526231.
It is a tau number, because it is divible by the number of its divisors (120).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94101 + ... + 95499.
Almost surely, 2132625200 is an apocalyptic number.
132625200 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 132625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215264000).
132625200 is an abundant number, since it is smaller than the sum of its proper divisors (297902800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132625200 is a wasteful number, since it uses less digits than its factorization.
132625200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1499 (or 1488 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 21.
The square root of 132625200 is about 11516.3014896276. The cubic root of 132625200 is about 509.9669336501.
The spelling of 132625200 in words is "one hundred thirty-two million, six hundred twenty-five thousand, two hundred".
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