Search a number
-
+
540065880 = 233451931283
BaseRepresentation
bin100000001100001…
…100000001011000
31101122020012010000
4200030030001120
52101224102010
6125331253000
716245325044
oct4014140130
91348205100
10540065880
11257942542
12130a4a160
1387b72913
1451a25024
153262e7c0
hex2030c058

540065880 has 320 divisors, whose sum is σ = 1979366400. Its totient is φ = 131569920.

The previous prime is 540065863. The next prime is 540065923. The reversal of 540065880 is 88560045.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1908219 + ... + 1908501.

It is an arithmetic number, because the mean of its divisors is an integer number (6185520).

Almost surely, 2540065880 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 540065880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989683200).

540065880 is an abundant number, since it is smaller than the sum of its proper divisors (1439300520).

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

540065880 is a wasteful number, since it uses less digits than its factorization.

540065880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 540065880 is about 23239.3175459177. The cubic root of 540065880 is about 814.3583995268.

The spelling of 540065880 in words is "five hundred forty million, sixty-five thousand, eight hundred eighty".