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54324 = 2233503
BaseRepresentation
bin1101010000110100
32202112000
431100310
53214244
61055300
7314244
oct152064
982460
1054324
11378a6
1227530
131b95a
1415b24
1511169
hexd434

54324 has 24 divisors (see below), whose sum is σ = 141120. Its totient is φ = 18072.

The previous prime is 54323. The next prime is 54331. The reversal of 54324 is 42345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54297 and 54306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54323) 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, 144 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

254324 is an apocalyptic number.

54324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54324 is an abundant number, since it is smaller than the sum of its proper divisors (86796).

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 (70560).

54324 is a wasteful number, since it uses less digits than its factorization.

54324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 54324 is about 233.0750951947. The cubic root of 54324 is about 37.8730760713.

Adding to 54324 its reverse (42345), we get a palindrome (96669).

It can be divided in two parts, 54 and 324, that added together give a triangular number (378 = T27).

The spelling of 54324 in words is "fifty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 503 1006 1509 2012 3018 4527 6036 9054 13581 18108 27162 54324