Base | Representation |
---|---|
bin | 11011000000000… |
… | …100110100010000 |
3 | 1011120102000102200 |
4 | 123000010310100 |
5 | 1411432121220 |
6 | 112541243200 |
7 | 14140322001 |
oct | 3300046420 |
9 | 1146360380 |
10 | 453004560 |
11 | 212789038 |
12 | 107863500 |
13 | 72b0c448 |
14 | 442411a8 |
15 | 29b83890 |
hex | 1b004d10 |
453004560 has 120 divisors (see below), whose sum is σ = 1525342104. Its totient is φ = 120483840.
The previous prime is 453004553. The next prime is 453004577. The reversal of 453004560 is 65400354.
It can be written as a sum of positive squares in 4 ways, for example, as 89415936 + 363588624 = 9456^2 + 19068^2 .
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, 426430 + ... + 427490.
Almost surely, 2453004560 is an apocalyptic number.
453004560 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 453004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762671052).
453004560 is an abundant number, since it is smaller than the sum of its proper divisors (1072337544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
453004560 is a wasteful number, since it uses less digits than its factorization.
453004560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1673 (or 1664 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
The square root of 453004560 is about 21283.9037772679. The cubic root of 453004560 is about 768.0111489267.
The spelling of 453004560 in words is "four hundred fifty-three million, four thousand, five hundred sixty".
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