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5430067200 = 2143352491
BaseRepresentation
bin1010000111010100…
…00100000000000000
3112000102121222212000
411003222010000000
542110044122300
62254453104000
7251363544465
oct50352040000
915012558760
105430067200
112337149948
121076628000
13686c9991c
1439725166c
1521baa8c00
hex143a84000

5430067200 has 360 divisors, whose sum is σ = 19990491360. Its totient is φ = 1445068800.

The previous prime is 5430067187. The next prime is 5430067231. The reversal of 5430067200 is 27600345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11058955 + ... + 11059445.

Almost surely, 25430067200 is an apocalyptic number.

5430067200 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 5430067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995245680).

5430067200 is an abundant number, since it is smaller than the sum of its proper divisors (14560424160).

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

5430067200 is an equidigital number, since it uses as much as digits as its factorization.

5430067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5430067200 is about 73688.9896795987. The cubic root of 5430067200 is about 1757.6608042249.

Adding to 5430067200 its reverse (27600345), we get a palindrome (5457667545).

The spelling of 5430067200 in words is "five billion, four hundred thirty million, sixty-seven thousand, two hundred".