Search a number
-
+
5856913920 = 293511135333
BaseRepresentation
bin1010111010001100…
…10110101000000000
3120010011211001110210
411131012112220000
543443332221140
62405101554120
7265065642534
oct53506265000
916104731423
105856913920
112536091130
121175575940
1372454ab50
143d7c03bc4
152442c1d80
hex15d196a00

5856913920 has 320 divisors, whose sum is σ = 22001341824. Its totient is φ = 1310392320.

The previous prime is 5856913901. The next prime is 5856913949. The reversal of 5856913920 is 293196585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5856913920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095574 + ... + 1100906.

Almost surely, 25856913920 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 5856913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11000670912).

5856913920 is an abundant number, since it is smaller than the sum of its proper divisors (16144427904).

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

5856913920 is a wasteful number, since it uses less digits than its factorization.

5856913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 5856913920 is about 76530.4770663296. The cubic root of 5856913920 is about 1802.5595192472.

The spelling of 5856913920 in words is "five billion, eight hundred fifty-six million, nine hundred thirteen thousand, nine hundred twenty".