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546 = 23713
BaseRepresentation
bin1000100010
3202020
420202
54141
62310
71410
oct1042
9666
10546
11457
12396
13330
142b0
15266
hex222

546 has 16 divisors (see below), whose sum is σ = 1344. Its totient is φ = 144.

The previous prime is 541. The next prime is 547. The reversal of 546 is 645.

Adding to 546 its sum of digits (15), we get a triangular number (561 = T33).

Adding to 546 its product of digits (120), we get a palindrome (666).

Subtracting 546 from its reverse (645), we obtain a palindrome (99).

It can be divided in two parts, 54 and 6, that multiplied together give a square (324 = 182).

546 is nontrivially palindromic in base 4, base 9 and base 16.

It is an Ulam number.

546 is an undulating number in base 3, base 4 and base 5.

It is a Curzon number.

546 is a nontrivial repdigit in base 9 and base 16.

It is a plaindrome in base 9, base 11, base 15 and base 16.

It is a nialpdrome in base 9, base 13 and base 16.

It is a zygodrome in base 9 and base 16.

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 546.

It is not an unprimeable number, because it can be changed into a prime (541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 48.

It is an arithmetic number, because the mean of its divisors is an integer number (84).

It is a practical number, because each smaller number is the sum of distinct divisors of 546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672).

546 is an abundant number, since it is smaller than the sum of its proper divisors (798).

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

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

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

The sum of its prime factors is 25.

The product of its digits is 120, while the sum is 15.

The square root of 546 is about 23.3666428911. The cubic root of 546 is about 8.1733020256.

The spelling of 546 in words is "five hundred forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546