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540396 = 223217883
BaseRepresentation
bin10000011111011101100
31000110021200
42003323230
5114243041
615325500
74410333
oct2037354
91013250
10540396
1133a00a
12220890
1315bc7c
14100d1a
15aa1b6
hex83eec

540396 has 36 divisors (see below), whose sum is σ = 1447992. Its totient is φ = 169344.

The previous prime is 540391. The next prime is 540433. The reversal of 540396 is 693045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (540391) 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 11 ways as a sum of consecutive naturals, for example, 171 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (40222).

2540396 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 540396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723996).

540396 is an abundant number, since it is smaller than the sum of its proper divisors (907596).

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

540396 is a wasteful number, since it uses less digits than its factorization.

540396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 540396 is about 735.1163173267. The cubic root of 540396 is about 81.4524293632.

It can be divided in two parts, 54039 and 6, that added together give a palindrome (54045).

The spelling of 540396 in words is "five hundred forty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 883 1766 2649 3532 5298 7947 10596 15011 15894 30022 31788 45033 60044 90066 135099 180132 270198 540396