Search a number
-
+
5994097200 = 24345271319107
BaseRepresentation
bin1011001010100011…
…01010101000110000
3120110201221200120000
411211101222220300
544233442102300
62430442150000
7301352662020
oct54521525060
916421850500
105994097200
1125a6569a43
1211b34b2300
13746ab00a0
1440c113a80
1525136dc00
hex16546aa30

5994097200 has 1200 divisors, whose sum is σ = 28130699520. Its totient is φ = 1186928640.

The previous prime is 5994097189. The next prime is 5994097217. The reversal of 5994097200 is 27904995.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 56019547 + ... + 56019653.

Almost surely, 25994097200 is an apocalyptic number.

5994097200 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 5994097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065349760).

5994097200 is an abundant number, since it is smaller than the sum of its proper divisors (22136602320).

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

5994097200 is a wasteful number, since it uses less digits than its factorization.

5994097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 5994097200 is about 77421.5551380880. Note that the first 3 decimals coincide. The cubic root of 5994097200 is about 1816.5245028985.

The spelling of 5994097200 in words is "five billion, nine hundred ninety-four million, ninety-seven thousand, two hundred".