Search a number
BaseRepresentation
bin1101010111000000
32210001200
431113000
53222340
61101200
7315351
oct152700
983050
1054720
1138126
1227800
131bba3
1415d28
1511330
hexd5c0

54720 has 84 divisors (see below), whose sum is σ = 198120. Its totient is φ = 13824.

The previous prime is 54713. The next prime is 54721. The reversal of 54720 is 2745.

54720 = T5 + T6 + ... + T68.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 54693 and 54702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54721) by changing a digit.

54720 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, 2871 + ... + 2889.

254720 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 54720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99060).

54720 is an abundant number, since it is smaller than the sum of its proper divisors (143400).

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

54720 is a wasteful number, since it uses less digits than its factorization.

54720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 54720 is about 233.9230642754. The cubic root of 54720 is about 37.9648798321.

The spelling of 54720 in words is "fifty-four thousand, seven hundred twenty".