Base | Representation |
---|---|
bin | 100110010100110… |
… | …100000010100000 |
3 | 1122210220021210100 |
4 | 212110310002200 |
5 | 2304101141430 |
6 | 143445302400 |
7 | 21635220054 |
oct | 4624640240 |
9 | 1583807710 |
10 | 642990240 |
11 | 2aaa510a2 |
12 | 15b404a00 |
13 | a329b4c9 |
14 | 61577c64 |
15 | 3b6b0960 |
hex | 265340a0 |
642990240 has 144 divisors (see below), whose sum is σ = 2216430216. Its totient is φ = 169728000.
The previous prime is 642990209. The next prime is 642990241. The reversal of 642990240 is 42099246.
642990240 is a `hidden beast` number, since 642 + 9 + 9 + 0 + 2 + 4 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 642926736 + 63504 = 25356^2 + 252^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 642990195 and 642990204.
It is not an unprimeable number, because it can be changed into a prime (642990241) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143230 + ... + 147650.
Almost surely, 2642990240 is an apocalyptic number.
642990240 is a gapful number since it is divisible by the number (60) 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 642990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108215108).
642990240 is an abundant number, since it is smaller than the sum of its proper divisors (1573439976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
642990240 is a wasteful number, since it uses less digits than its factorization.
642990240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4543 (or 4532 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 642990240 is about 25357.2522170680. The cubic root of 642990240 is about 863.1139321463.
It can be divided in two parts, 6429 and 90240, that added together give a palindrome (96669).
The spelling of 642990240 in words is "six hundred forty-two million, nine hundred ninety thousand, two hundred forty".
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