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5761440 = 253254001
BaseRepresentation
bin10101111110100110100000
3101211201012200
4111332212200
52433331230
6323253200
766654126
oct25764640
911751180
105761440
113285723
121b1a200
131269549
14a9d916
1578c160
hex57e9a0

5761440 has 72 divisors (see below), whose sum is σ = 19665828. Its totient is φ = 1536000.

The previous prime is 5761439. The next prime is 5761447. The reversal of 5761440 is 441675.

5761440 is a `hidden beast` number, since 5 + 7 + 614 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 725904 = 2244^2 + 852^2 .

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 (5761447) 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, 561 + ... + 3440.

Almost surely, 25761440 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 5761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832914).

5761440 is an abundant number, since it is smaller than the sum of its proper divisors (13904388).

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

5761440 is a wasteful number, since it uses less digits than its factorization.

5761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4011 counting only the distinct ones).

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

The square root of 5761440 is about 2400.2999812523. The cubic root of 5761440 is about 179.2711266334.

It can be divided in two parts, 576 and 1440, that added together give a triangular number (2016 = T63).

The spelling of 5761440 in words is "five million, seven hundred sixty-one thousand, four hundred forty".

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 4001 8002 12003 16004 20005 24006 32008 36009 40010 48012 60015 64016 72018 80020 96024 120030 128032 144036 160040 180045 192048 240060 288072 320080 360090 384096 480120 576144 640160 720180 960240 1152288 1440360 1920480 2880720 5761440