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55520 = 255347
BaseRepresentation
bin1101100011100000
32211011022
431203200
53234040
61105012
7320603
oct154340
984138
1055520
1138793
1228168
131c36a
141633a
15116b5
hexd8e0

55520 has 24 divisors (see below), whose sum is σ = 131544. Its totient is φ = 22144.

The previous prime is 55511. The next prime is 55529. The reversal of 55520 is 2555.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55511) and next prime (55529).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55529) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (5481).

255520 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 55520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65772).

55520 is an abundant number, since it is smaller than the sum of its proper divisors (76024).

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

55520 is a wasteful number, since it uses less digits than its factorization.

55520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 17.

The square root of 55520 is about 235.6268236004. The cubic root of 55520 is about 38.1489994911.

It can be divided in two parts, 555 and 20, that added together give a palindrome (575).

The spelling of 55520 in words is "fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 347 694 1388 1735 2776 3470 5552 6940 11104 13880 27760 55520