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45580 = 2254353
BaseRepresentation
bin1011001000001100
32022112011
423020030
52424310
6551004
7246613
oct131014
968464
1045580
1131277
1222464
1317992
141287a
15d78a
hexb20c

45580 has 24 divisors (see below), whose sum is σ = 99792. Its totient is φ = 17472.

The previous prime is 45569. The next prime is 45587. The reversal of 45580 is 8554.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45587) by changing a digit.

45580 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, 834 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

245580 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 45580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896).

45580 is an abundant number, since it is smaller than the sum of its proper divisors (54212).

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

45580 is a wasteful number, since it uses less digits than its factorization.

45580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 45580 is about 213.4947306141. The cubic root of 45580 is about 35.7210958442.

It can be divided in two parts, 455 and 80, that added together give a palindrome (535).

The spelling of 45580 in words is "forty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 265 430 530 860 1060 2279 4558 9116 11395 22790 45580