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55320 = 2335461
BaseRepresentation
bin1101100000011000
32210212220
431200120
53232240
61104040
7320166
oct154030
983786
1055320
1138621
1228020
131c245
1416236
15115d0
hexd818

55320 has 32 divisors (see below), whose sum is σ = 166320. Its totient is φ = 14720.

The previous prime is 55313. The next prime is 55331. The reversal of 55320 is 2355.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 55320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 350.

It is the magic constant of a 48 × 48 magic square.

255320 is an apocalyptic number.

It is an amenable number.

55320 is an abundant number, since it is smaller than the sum of its proper divisors (111000).

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 (83160).

55320 is a wasteful number, since it uses less digits than its factorization.

55320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 55320 is about 235.2020408075. The cubic root of 55320 is about 38.1031362592.

Adding to 55320 its reverse (2355), we get a palindrome (57675).

The spelling of 55320 in words is "fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 461 922 1383 1844 2305 2766 3688 4610 5532 6915 9220 11064 13830 18440 27660 55320