Search a number
-
+
5920231680 = 283451129179
BaseRepresentation
bin1011000001101111…
…11001000100000000
3120021120221221010000
411200313321010000
544111034403210
62415243040000
7266465065446
oct54067710400
916246857100
105920231680
1125688a8760
121192810000
137346b9c8c
144023a6b96
15249b2cac0
hex160df9100

5920231680 has 720 divisors, whose sum is σ = 24039892800. Its totient is φ = 1377976320.

The previous prime is 5920231627. The next prime is 5920231687. The reversal of 5920231680 is 861320295.

5920231680 is a `hidden beast` number, since 592 + 0 + 2 + 3 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (5920231687) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 33073831 + ... + 33074009.

It is an arithmetic number, because the mean of its divisors is an integer number (33388740).

Almost surely, 25920231680 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 5920231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019946400).

5920231680 is an abundant number, since it is smaller than the sum of its proper divisors (18119661120).

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

5920231680 is a wasteful number, since it uses less digits than its factorization.

5920231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5920231680 is about 76943.0417906649. The cubic root of 5920231680 is about 1809.0319375895.

The spelling of 5920231680 in words is "five billion, nine hundred twenty million, two hundred thirty-one thousand, six hundred eighty".