Search a number
-
+
543012400 = 245271959173
BaseRepresentation
bin100000010111011…
…011011000110000
31101211202212222101
4200113123120300
52103002344100
6125514350144
716312346350
oct4027333060
91354685871
10543012400
11259575287
12131a2b354
1388664b18
1452190b60
1532a1286a
hex205db630

543012400 has 240 divisors, whose sum is σ = 1605254400. Its totient is φ = 172385280.

The previous prime is 543012397. The next prime is 543012403. The reversal of 543012400 is 4210345.

It is an interprime number because it is at equal distance from previous prime (543012397) and next prime (543012403).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (543012403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3138714 + ... + 3138886.

It is an arithmetic number, because the mean of its divisors is an integer number (6688560).

Almost surely, 2543012400 is an apocalyptic number.

543012400 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 543012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802627200).

543012400 is an abundant number, since it is smaller than the sum of its proper divisors (1062242000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

543012400 is a wasteful number, since it uses less digits than its factorization.

543012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 543012400 is about 23302.6264614099. The cubic root of 543012400 is about 815.8367208227.

Adding to 543012400 its reverse (4210345), we get a palindrome (547222745).

The spelling of 543012400 in words is "five hundred forty-three million, twelve thousand, four hundred".