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5744160 = 253253989
BaseRepresentation
bin10101111010011000100000
3101210211111200
4111322120200
52432303120
6323041200
766552552
oct25723040
911724450
105744160
113273744
121b10200
131261716
14a974d2
15786e90
hex57a620

5744160 has 72 divisors (see below), whose sum is σ = 19606860. Its totient is φ = 1531392.

The previous prime is 5744153. The next prime is 5744161. The reversal of 5744160 is 614475.

It can be written as a sum of positive squares in 2 ways, for example, as 5702544 + 41616 = 2388^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5744161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555 + ... + 3434.

Almost surely, 25744160 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 5744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803430).

5744160 is an abundant number, since it is smaller than the sum of its proper divisors (13862700).

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

5744160 is a wasteful number, since it uses less digits than its factorization.

5744160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5744160 is about 2396.6977281251. The cubic root of 5744160 is about 179.0917208327.

The spelling of 5744160 in words is "five million, seven hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3989 7978 11967 15956 19945 23934 31912 35901 39890 47868 59835 63824 71802 79780 95736 119670 127648 143604 159560 179505 191472 239340 287208 319120 359010 382944 478680 574416 638240 718020 957360 1148832 1436040 1914720 2872080 5744160