Search a number
-
+
32098920 = 23357253103
BaseRepresentation
bin111101001110…
…0101001101000
32020101210102220
41322130221220
531204131140
63103554040
7536556600
oct172345150
966353386
1032098920
1117134437
12a8bb920
13685b459
144397c00
152c40bd0
hex1e9ca68

32098920 has 192 divisors, whose sum is σ = 115240320. Its totient is φ = 7128576.

The previous prime is 32098909. The next prime is 32098967. The reversal of 32098920 is 2989023.

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 47 ways as a sum of consecutive naturals, for example, 311589 + ... + 311691.

It is an arithmetic number, because the mean of its divisors is an integer number (600210).

Almost surely, 232098920 is an apocalyptic number.

32098920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32098920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57620160).

32098920 is an abundant number, since it is smaller than the sum of its proper divisors (83141400).

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

32098920 is a wasteful number, since it uses less digits than its factorization.

32098920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 32098920 is about 5665.5908782756. The cubic root of 32098920 is about 317.8070107842.

The spelling of 32098920 in words is "thirty-two million, ninety-eight thousand, nine hundred twenty".