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55420 = 22517163
BaseRepresentation
bin1101100001111100
32211000121
431201330
53233140
61104324
7320401
oct154174
984017
1055420
1138702
12280a4
131c2c1
14162a8
151164a
hexd87c

55420 has 24 divisors (see below), whose sum is σ = 123984. Its totient is φ = 20736.

The previous prime is 55411. The next prime is 55439. The reversal of 55420 is 2455.

Adding to 55420 its reverse (2455), we get a palindrome (57875).

It is a happy number.

55420 is nontrivially palindromic in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 55394 and 55403.

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, 259 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (5166).

255420 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 55420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992).

55420 is an abundant number, since it is smaller than the sum of its proper divisors (68564).

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

55420 is a wasteful number, since it uses less digits than its factorization.

55420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 55420 is about 235.4145280139. The cubic root of 55420 is about 38.1260816678.

The spelling of 55420 in words is "fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 163 170 326 340 652 815 1630 2771 3260 5542 11084 13855 27710 55420