Search a number
54120 = 23351141
BaseRepresentation
bin1101001101101000
32202020110
431031220
53212440
61054320
7313533
oct151550
982213
1054120
1137730
12273a0
131b831
1415a1a
1511080
hexd368

54120 has 64 divisors (see below), whose sum is σ = 181440. Its totient is φ = 12800.

The previous prime is 54101. The next prime is 54121. The reversal of 54120 is 2145.

54120 = T99 + T100 + ... + T108.

54120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 54096 and 54105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54120.

It is not an unprimeable number, because it can be changed into a prime (54121) by changing a digit.

54120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

254120 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 54120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

54120 is an abundant number, since it is smaller than the sum of its proper divisors (127320).

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

54120 is a wasteful number, since it uses less digits than its factorization.

54120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 54120 is about 232.6370563775. The cubic root of 54120 is about 37.8256090285.

Adding to 54120 its reverse (2145), we get a palindrome (56265).

It can be divided in two parts, 541 and 20, that added together give a triangular number (561 = T33).

The spelling of 54120 in words is "fifty-four thousand, one hundred twenty".