Base | Representation |
---|---|
bin | 1111110010010… |
… | …00011010111000 |
3 | 100020011111021001 |
4 | 13321020122320 |
5 | 232344322313 |
6 | 21050054344 |
7 | 3165346000 |
oct | 771103270 |
9 | 306144231 |
10 | 132417208 |
11 | 68823010 |
12 | 3841a3b4 |
13 | 21583aa1 |
14 | 1382d000 |
15 | b959add |
hex | 7e486b8 |
132417208 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 49862400.
The previous prime is 132417203. The next prime is 132417211. The reversal of 132417208 is 802714231.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132417203) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237491 + ... + 1237597.
It is an arithmetic number, because the mean of its divisors is an integer number (2551500).
Almost surely, 2132417208 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132417208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).
132417208 is an abundant number, since it is smaller than the sum of its proper divisors (194174792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132417208 is a wasteful number, since it uses less digits than its factorization.
132417208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 28.
The square root of 132417208 is about 11507.2676165978. The cubic root of 132417208 is about 509.7002057103.
It can be divided in two parts, 13241 and 7208, that added together give a square (20449 = 1432).
The spelling of 132417208 in words is "one hundred thirty-two million, four hundred seventeen thousand, two hundred eight".
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