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54460 = 2257389
BaseRepresentation
bin1101010010111100
32202201001
431102330
53220320
61100044
7314530
oct152274
982631
1054460
1137a0a
1227624
131ba33
1415bc0
151120a
hexd4bc

54460 has 24 divisors (see below), whose sum is σ = 131040. Its totient is φ = 18624.

The previous prime is 54449. The next prime is 54469. The reversal of 54460 is 6445.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54469) by changing a digit.

54460 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 7 ways as a sum of consecutive naturals, for example, 55 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

254460 is an apocalyptic number.

It is an amenable number.

54460 is an abundant number, since it is smaller than the sum of its proper divisors (76580).

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 (65520).

54460 is a wasteful number, since it uses less digits than its factorization.

54460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 54460 is about 233.3666642861. The cubic root of 54460 is about 37.9046547843.

It can be divided in two parts, 544 and 60, that multiplied together give a triangular number (32640 = T255).

The spelling of 54460 in words is "fifty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 389 778 1556 1945 2723 3890 5446 7780 10892 13615 27230 54460