Search a number
-
+
5960422080 = 2632531101661
BaseRepresentation
bin1011000110100010…
…01101001011000000
3120101101120210222100
411203101031023000
544201332001310
62423240310400
7300463515564
oct54321151300
916341523870
105960422080
112589559368
1211a4172400
1373cb1c392
144078696a4
1524d41aec0
hex16344d2c0

5960422080 has 336 divisors, whose sum is σ = 21404567808. Its totient is φ = 1520640000.

The previous prime is 5960422033. The next prime is 5960422087. The reversal of 5960422080 is 802240695.

It is a happy number.

5960422080 is a `hidden beast` number, since 596 + 0 + 42 + 20 + 8 + 0 = 666.

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 (5960422087) 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 47 ways as a sum of consecutive naturals, for example, 9016950 + ... + 9017610.

Almost surely, 25960422080 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 5960422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702283904).

5960422080 is an abundant number, since it is smaller than the sum of its proper divisors (15444145728).

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

5960422080 is a wasteful number, since it uses less digits than its factorization.

5960422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5960422080 is about 77203.7698561411. The cubic root of 5960422080 is about 1813.1163391342.

The spelling of 5960422080 in words is "five billion, nine hundred sixty million, four hundred twenty-two thousand, eighty".