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45390 = 2351789
BaseRepresentation
bin1011000101001110
32022021010
423011032
52423030
6550050
7246222
oct130516
968233
1045390
1131114
1222326
1317877
1412782
15d6b0
hexb14e

45390 has 32 divisors (see below), whose sum is σ = 116640. Its totient is φ = 11264.

The previous prime is 45389. The next prime is 45403. The reversal of 45390 is 9354.

45390 is nontrivially palindromic in base 4.

45390 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

245390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320).

45390 is an abundant number, since it is smaller than the sum of its proper divisors (71250).

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

45390 is a wasteful number, since it uses less digits than its factorization.

45390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 45390 is about 213.0492900716. The cubic root of 45390 is about 35.6713923145.

Subtracting from 45390 its sum of digits (21), we obtain a square (45369 = 2132).

Subtracting from 45390 its product of nonzero digits (540), we obtain a triangular number (44850 = T299).

It can be divided in two parts, 45 and 390, that added together give a triangular number (435 = T29).

The spelling of 45390 in words is "forty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 170 178 255 267 445 510 534 890 1335 1513 2670 3026 4539 7565 9078 15130 22695 45390