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54016 = 28211
BaseRepresentation
bin1101001100000000
32202002121
431030000
53212031
61054024
7313324
oct151400
982077
1054016
1137646
1227314
131b781
1415984
1511011
hexd300

54016 has 18 divisors (see below), whose sum is σ = 108332. Its totient is φ = 26880.

The previous prime is 54013. The next prime is 54037. The reversal of 54016 is 61045.

54016 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (54011) 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 as a sum of consecutive naturals, namely, 151 + ... + 361.

254016 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 54016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54166).

54016 is an abundant number, since it is smaller than the sum of its proper divisors (54316).

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

54016 is an equidigital number, since it uses as much as digits as its factorization.

54016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

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

The square root of 54016 is about 232.4134247413. The cubic root of 54016 is about 37.8013642276.

The spelling of 54016 in words is "fifty-four thousand, sixteen".