| Base | Representation |
|---|---|
| bin | 100000001111001… |
| … | …001100110100000 |
| 3 | 1101200200122022000 |
| 4 | 200033021212200 |
| 5 | 2101423424100 |
| 6 | 125400044000 |
| 7 | 16255041000 |
| oct | 4017114640 |
| 9 | 1350618260 |
| 10 | 540842400 |
| 11 | 25832299a |
| 12 | 131163600 |
| 13 | 880851b7 |
| 14 | 51b88000 |
| 15 | 32734900 |
| hex | 203c99a0 |
540842400 has 576 divisors, whose sum is σ = 2312352000. Its totient is φ = 121927680.
The previous prime is 540842383. The next prime is 540842417. The reversal of 540842400 is 4248045.
540842400 is a `hidden beast` number, since 540 + 84 + 2 + 40 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (540842383) and next prime (540842417).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7408764 + ... + 7408836.
It is an arithmetic number, because the mean of its divisors is an integer number (4014500).
Almost surely, 2540842400 is an apocalyptic number.
540842400 is a gapful number since it is divisible by the number (50) 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 540842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156176000).
540842400 is an abundant number, since it is smaller than the sum of its proper divisors (1771509600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540842400 is a wasteful number, since it uses less digits than its factorization.
540842400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123 (or 90 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 27.
The square root of 540842400 is about 23256.0185758440. The cubic root of 540842400 is about 814.7485141237.
The spelling of 540842400 in words is "five hundred forty million, eight hundred forty-two thousand, four hundred".
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