Base | Representation |
---|---|
bin | 1101000010011… |
… | …0101001010000 |
3 | 10210220020200020 |
4 | 3100212221100 |
5 | 102444343430 |
6 | 5232023440 |
7 | 1232544162 |
oct | 320465120 |
9 | 123806606 |
10 | 54684240 |
11 | 28960096 |
12 | 16391b80 |
13 | b438550 |
14 | 7396932 |
15 | 4c02b10 |
hex | 3426a50 |
54684240 has 160 divisors (see below), whose sum is σ = 193487616. Its totient is φ = 12656640.
The previous prime is 54684239. The next prime is 54684241. The reversal of 54684240 is 4248645.
It is an interprime number because it is at equal distance from previous prime (54684239) and next prime (54684241).
It is a super-2 number, since 2×546842402 = 5980732208755200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54684241) 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, 52525 + ... + 53555.
Almost surely, 254684240 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 54684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96743808).
54684240 is an abundant number, since it is smaller than the sum of its proper divisors (138803376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54684240 is a wasteful number, since it uses less digits than its factorization.
54684240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 33.
The square root of 54684240 is about 7394.8793093600. The cubic root of 54684240 is about 379.5660790260.
The spelling of 54684240 in words is "fifty-four million, six hundred eighty-four thousand, two hundred forty".
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