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54036 = 22321979
BaseRepresentation
bin1101001100010100
32202010100
431030110
53212121
61054100
7313353
oct151424
982110
1054036
1137664
1227330
131b798
141599a
1511026
hexd314

54036 has 36 divisors (see below), whose sum is σ = 145600. Its totient is φ = 16848.

The previous prime is 54013. The next prime is 54037. The reversal of 54036 is 63045.

It is a happy number.

54036 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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

It is a super-3 number, since 3×540363 = 473337413995968, which contains 333 as substring.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54037) by changing a digit.

54036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 645 + ... + 723.

254036 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 54036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72800).

54036 is an abundant number, since it is smaller than the sum of its proper divisors (91564).

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

54036 is a wasteful number, since it uses less digits than its factorization.

54036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 54036 is about 232.4564475337. The cubic root of 54036 is about 37.8060291047.

Subtracting 54036 from its reverse (63045), we obtain a palindrome (9009).

It can be divided in two parts, 540 and 36, that added together give a square (576 = 242).

The spelling of 54036 in words is "fifty-four thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 228 237 316 342 474 684 711 948 1422 1501 2844 3002 4503 6004 9006 13509 18012 27018 54036