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45066 = 2372937
BaseRepresentation
bin1011000000001010
32021211010
423000022
52420231
6544350
7245250
oct130012
967733
1045066
113094a
12220b6
1317688
14125d0
15d546
hexb00a

45066 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 12096.

The previous prime is 45061. The next prime is 45077. The reversal of 45066 is 66054.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45061) by changing a digit.

45066 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

245066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

45066 is an abundant number, since it is smaller than the sum of its proper divisors (64374).

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

45066 is a wasteful number, since it uses less digits than its factorization.

45066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45066 is about 212.2875408497. The cubic root of 45066 is about 35.5863138066.

The spelling of 45066 in words is "forty-five thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 29 37 42 58 74 87 111 174 203 222 259 406 518 609 777 1073 1218 1554 2146 3219 6438 7511 15022 22533 45066