Search a number
-
+
5331594240 = 210325716529
BaseRepresentation
bin1001111011100100…
…11010110000000000
3111202120100001100100
410331302122300000
541404342003430
62241014322400
7246056542350
oct47562326000
914676301310
105331594240
112296600735
121049659400
1366c76c1bb
1438813ab60
15213106960
hex13dc9ac00

5331594240 has 264 divisors, whose sum is σ = 21114231840. Its totient is φ = 1218576384.

The previous prime is 5331594197. The next prime is 5331594251. The reversal of 5331594240 is 424951335.

5331594240 is a `hidden beast` number, since 533 + 15 + 94 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5331594195 and 5331594204.

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, 314296 + ... + 330824.

Almost surely, 25331594240 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 5331594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557115920).

5331594240 is an abundant number, since it is smaller than the sum of its proper divisors (15782637600).

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

5331594240 is a wasteful number, since it uses less digits than its factorization.

5331594240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16567 (or 16546 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5331594240 is about 73017.7666051215. The cubic root of 5331594240 is about 1746.9710040822.

The spelling of 5331594240 in words is "five billion, three hundred thirty-one million, five hundred ninety-four thousand, two hundred forty".