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5441760 = 253253779
BaseRepresentation
bin10100110000100011100000
3101020110200200
4110300203200
52343114020
6312345200
764153122
oct24604340
911213620
105441760
113087525
1219a5200
131186b9c
14a19212
15727590
hex5308e0

5441760 has 72 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 1450752.

The previous prime is 5441759. The next prime is 5441773. The reversal of 5441760 is 671445.

5441760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×54417602 = 59225503795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 25441760 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 5441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).

5441760 is an abundant number, since it is smaller than the sum of its proper divisors (13133160).

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

5441760 is a wasteful number, since it uses less digits than its factorization.

5441760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3789 counting only the distinct ones).

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

The square root of 5441760 is about 2332.7580243137. The cubic root of 5441760 is about 175.8921515575.

It can be divided in two parts, 544 and 1760, that added together give a square (2304 = 482).

The spelling of 5441760 in words is "five million, four hundred forty-one thousand, seven 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 3779 7558 11337 15116 18895 22674 30232 34011 37790 45348 56685 60464 68022 75580 90696 113370 120928 136044 151160 170055 181392 226740 272088 302320 340110 362784 453480 544176 604640 680220 906960 1088352 1360440 1813920 2720880 5441760