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16540 = 225827
BaseRepresentation
bin100000010011100
3211200121
410002130
51012130
6204324
766136
oct40234
924617
1016540
1111477
1296a4
1376b4
146056
154d7a
hex409c

16540 has 12 divisors (see below), whose sum is σ = 34776. Its totient is φ = 6608.

The previous prime is 16529. The next prime is 16547. The reversal of 16540 is 4561.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 394 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (2898).

216540 is an apocalyptic number.

16540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16540 is an abundant number, since it is smaller than the sum of its proper divisors (18236).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388).

16540 is a wasteful number, since it uses less digits than its factorization.

16540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 16540 is about 128.6079313262. The cubic root of 16540 is about 25.4787725430.

The spelling of 16540 in words is "sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 827 1654 3308 4135 8270 16540