Search a number
-
+
65089440 = 25335131961
BaseRepresentation
bin1111100001001…
…0111110100000
311112110212221000
43320102332200
5113130330230
610243032000
71420152063
oct370227640
9145425830
1065089440
1133817729
121996b600
131063c680
1489048da
155aaab60
hex3e12fa0

65089440 has 384 divisors, whose sum is σ = 262483200. Its totient is φ = 14929920.

The previous prime is 65089433. The next prime is 65089441. The reversal of 65089440 is 4498056.

65089440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 65089395 and 65089404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65089441) 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 63 ways as a sum of consecutive naturals, for example, 1067010 + ... + 1067070.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 265089440 is an apocalyptic number.

65089440 is a gapful number since it is divisible by the number (60) 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 65089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

65089440 is an abundant number, since it is smaller than the sum of its proper divisors (197393760).

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

65089440 is a wasteful number, since it uses less digits than its factorization.

65089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

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

The square root of 65089440 is about 8067.8026748304. The cubic root of 65089440 is about 402.2569086256.

The spelling of 65089440 in words is "sixty-five million, eighty-nine thousand, four hundred forty".