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5419040 = 255113079
BaseRepresentation
bin10100101011000000100000
3101012022112012
4110223000200
52341402130
6312052052
764026644
oct24530040
911168465
105419040
113071450
121994028
131179743
14a10c24
15720995
hex52b020

5419040 has 48 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 1969920.

The previous prime is 5419033. The next prime is 5419049. The reversal of 5419040 is 409145.

It is a happy number.

5419040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5418997 and 5419015.

It is not an unprimeable number, because it can be changed into a prime (5419049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221 + ... + 3299.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 25419040 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 5419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).

5419040 is an abundant number, since it is smaller than the sum of its proper divisors (8551840).

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

5419040 is a wasteful number, since it uses less digits than its factorization.

5419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5419040 is about 2327.8831585799. The cubic root of 5419040 is about 175.6470198198.

The spelling of 5419040 in words is "five million, four hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 3079 6158 12316 15395 24632 30790 33869 49264 61580 67738 98528 123160 135476 169345 246320 270952 338690 492640 541904 677380 1083808 1354760 2709520 5419040