Search a number
-
+
5968650240 = 2133457257
BaseRepresentation
bin1011000111100001…
…00110000000000000
3120101222001211220000
411203300212000000
544210433301430
62424132520000
7300623455440
oct54360460000
916358054800
105968650240
1125931692a3
1211a6a80000
13741740607
144089ac120
1524dee3e60
hex163c26000

5968650240 has 560 divisors, whose sum is σ = 24549335712. Its totient is φ = 1358954496.

The previous prime is 5968650229. The next prime is 5968650251. The reversal of 5968650240 is 420568695.

5968650240 is a `hidden beast` number, since 596 + 8 + 6 + 50 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5968650229) and next prime (5968650251).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224192 + ... + 23224448.

Almost surely, 25968650240 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 5968650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12274667856).

5968650240 is an abundant number, since it is smaller than the sum of its proper divisors (18580685472).

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

5968650240 is an equidigital number, since it uses as much as digits as its factorization.

5968650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5968650240 is about 77257.0400675563. The cubic root of 5968650240 is about 1813.9502706644.

The spelling of 5968650240 in words is "five billion, nine hundred sixty-eight million, six hundred fifty thousand, two hundred forty".