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540462 = 2313341
BaseRepresentation
bin10000011111100101110
31000110101010
42003330232
5114243322
615330050
74410456
oct2037456
91013333
10540462
1133a06a
12220926
1315c000
14100d66
15aa20c
hex83f2e

540462 has 32 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 162240.

The previous prime is 540461. The next prime is 540469. The reversal of 540462 is 264045.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13162 + ... + 13202.

It is an arithmetic number, because the mean of its divisors is an integer number (37485).

2540462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599760).

540462 is an abundant number, since it is smaller than the sum of its proper divisors (659058).

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

540462 is a wasteful number, since it uses less digits than its factorization.

540462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

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

The square root of 540462 is about 735.1612068111. The cubic root of 540462 is about 81.4557452288.

The spelling of 540462 in words is "five hundred forty thousand, four hundred sixty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1599 2197 3198 4394 6591 6929 13182 13858 20787 41574 90077 180154 270231 540462