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45140 = 2253761
BaseRepresentation
bin1011000001010100
32021220212
423001110
52421030
6544552
7245414
oct130124
967825
1045140
1130a07
1222158
1317714
1412644
15d595
hexb054

45140 has 24 divisors (see below), whose sum is σ = 98952. Its totient is φ = 17280.

The previous prime is 45139. The next prime is 45161. The reversal of 45140 is 4154.

It can be written as a sum of positive squares in 4 ways, for example, as 2704 + 42436 = 52^2 + 206^2 .

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, 710 + ... + 770.

It is an arithmetic number, because the mean of its divisors is an integer number (4123).

245140 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 45140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476).

45140 is an abundant number, since it is smaller than the sum of its proper divisors (53812).

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

45140 is a wasteful number, since it uses less digits than its factorization.

45140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 45140 is about 212.4617612654. The cubic root of 45140 is about 35.6057811594.

Adding to 45140 its sum of digits (14), we get a palindrome (45154).

Adding to 45140 its reverse (4154), we get a palindrome (49294).

The spelling of 45140 in words is "forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 45140