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542064 = 24323491
BaseRepresentation
bin10000100010101110000
31000112120110
42010111300
5114321224
615341320
74415235
oct2042560
91015513
10542064
11340296
12221840
1315c963
1410178c
15aa929
hex84570

542064 has 40 divisors (see below), whose sum is σ = 1464192. Its totient is φ = 172480.

The previous prime is 542063. The next prime is 542071. The reversal of 542064 is 460245.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 542064.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542064.

It is not an unprimeable number, because it can be changed into a prime (542063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859 + ... + 1349.

2542064 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 542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732096).

542064 is an abundant number, since it is smaller than the sum of its proper divisors (922128).

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

542064 is a wasteful number, since it uses less digits than its factorization.

542064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 542064 is about 736.2499575552. The cubic root of 542064 is about 81.5361476646.

The spelling of 542064 in words is "five hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 491 552 982 1104 1473 1964 2946 3928 5892 7856 11293 11784 22586 23568 33879 45172 67758 90344 135516 180688 271032 542064