Base | Representation |
---|---|
bin | 11011011011001… |
… | …111001111010000 |
3 | 1012001210210000201 |
4 | 123123033033100 |
5 | 1420243001021 |
6 | 113354024544 |
7 | 14254666462 |
oct | 3333171720 |
9 | 1161723021 |
10 | 460125136 |
11 | 216801909 |
12 | 10a118154 |
13 | 744334c3 |
14 | 45176132 |
15 | 2a5dd591 |
hex | 1b6cf3d0 |
460125136 has 40 divisors (see below), whose sum is σ = 925777800. Its totient is φ = 221276160.
The previous prime is 460125131. The next prime is 460125137. The reversal of 460125136 is 631521064.
It can be written as a sum of positive squares in 4 ways, for example, as 29811600 + 430313536 = 5460^2 + 20744^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (460125131) 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, 128620 + ... + 132148.
It is an arithmetic number, because the mean of its divisors is an integer number (23144445).
Almost surely, 2460125136 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 460125136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462888900).
460125136 is an abundant number, since it is smaller than the sum of its proper divisors (465652664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
460125136 is a wasteful number, since it uses less digits than its factorization.
460125136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 28.
The square root of 460125136 is about 21450.5276391981. The cubic root of 460125136 is about 772.0142551530.
The spelling of 460125136 in words is "four hundred sixty million, one hundred twenty-five thousand, one hundred thirty-six".
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