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5740144 = 242989139
BaseRepresentation
bin10101111001011001110000
3101210121222221
4111321121300
52432141034
6323010424
766535054
oct25713160
911717887
105740144
113270723
121b09a14
13125c947
14a95c64
15785bb4
hex579670

5740144 has 40 divisors (see below), whose sum is σ = 11718000. Its totient is φ = 2720256.

The previous prime is 5740139. The next prime is 5740159. The reversal of 5740144 is 4410475.

5740144 is nontrivially palindromic in base 11.

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, 41227 + ... + 41365.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 25740144 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 5740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859000).

5740144 is an abundant number, since it is smaller than the sum of its proper divisors (5977856).

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

5740144 is a wasteful number, since it uses less digits than its factorization.

5740144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 5740144 is about 2395.8597621731. The cubic root of 5740144 is about 179.0499740829.

The spelling of 5740144 in words is "five million, seven hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 89 116 139 178 232 278 356 464 556 712 1112 1424 2224 2581 4031 5162 8062 10324 12371 16124 20648 24742 32248 41296 49484 64496 98968 197936 358759 717518 1435036 2870072 5740144