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5430447360 = 28355131779
BaseRepresentation
bin1010000111010111…
…00000110100000000
3112000110100022100000
411003223200310000
542110143303420
62254505200000
7251400020022
oct50353406400
915013308300
105430447360
112337389528
121076790000
136870a0980
14397310012
1521bb31690
hex143ae0d00

5430447360 has 864 divisors, whose sum is σ = 22499043840. Its totient is φ = 1242169344.

The previous prime is 5430447317. The next prime is 5430447367. The reversal of 5430447360 is 637440345.

It is a happy number.

5430447360 is a `hidden beast` number, since 543 + 0 + 44 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430447367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68739801 + ... + 68739879.

It is an arithmetic number, because the mean of its divisors is an integer number (26040560).

Almost surely, 25430447360 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 5430447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249521920).

5430447360 is an abundant number, since it is smaller than the sum of its proper divisors (17068596480).

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

5430447360 is a wasteful number, since it uses less digits than its factorization.

5430447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5430447360 is about 73691.5691242899. The cubic root of 5430447360 is about 1757.7018213194.

The spelling of 5430447360 in words is "five billion, four hundred thirty million, four hundred forty-seven thousand, three hundred sixty".