Base | Representation |
---|---|
bin | 1101111000110000000 |
3 | 212010012100 |
4 | 1233012000 |
5 | 104030130 |
6 | 13430400 |
7 | 3603435 |
oct | 1570600 |
9 | 763170 |
10 | 455040 |
11 | 290973 |
12 | 19b400 |
13 | 12c171 |
14 | bbb8c |
15 | 8ec60 |
hex | 6f180 |
455040 has 96 divisors (see below), whose sum is σ = 1591200. Its totient is φ = 119808.
The previous prime is 455033. The next prime is 455047. The reversal of 455040 is 40554.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (455033) and next prime (455047).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×4550402 = 414122803200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (455047) by changing a digit.
455040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5721 + ... + 5799.
It is an arithmetic number, because the mean of its divisors is an integer number (16575).
2455040 is an apocalyptic number.
455040 is a gapful number since it is divisible by the number (40) 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 455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795600).
455040 is an abundant number, since it is smaller than the sum of its proper divisors (1136160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
455040 is a wasteful number, since it uses less digits than its factorization.
455040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 104 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 18.
The square root of 455040 is about 674.5665274826. The cubic root of 455040 is about 76.9159706256.
Adding to 455040 its reverse (40554), we get a palindrome (495594).
The spelling of 455040 in words is "four hundred fifty-five thousand, forty".
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