Search a number
-
+
5995607040 = 2103556179
BaseRepresentation
bin1011001010101110…
…11011010000000000
3120110211210101200000
411211113123100000
544234333411130
62430534400000
7301401550623
oct54527332000
916424711600
105995607040
1125a7400345
1211b3b00000
137471bb397
1440c3c7dba
1525156b260
hex1655db400

5995607040 has 528 divisors, whose sum is σ = 22174414080. Its totient is φ = 1552711680.

The previous prime is 5995607017. The next prime is 5995607047. The reversal of 5995607040 is 407065995.

It is a happy number.

5995607040 is a `hidden beast` number, since 599 + 56 + 0 + 7 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5995607047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75893721 + ... + 75893799.

Almost surely, 25995607040 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 5995607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11087207040).

5995607040 is an abundant number, since it is smaller than the sum of its proper divisors (16178807040).

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

5995607040 is an equidigital number, since it uses as much as digits as its factorization.

5995607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5995607040 is about 77431.3052970179. The cubic root of 5995607040 is about 1816.6770102190.

The spelling of 5995607040 in words is "five billion, nine hundred ninety-five million, six hundred seven thousand, forty".