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5838720 = 27353041
BaseRepresentation
bin10110010001011110000000
3101222122012220
4112101132000
52443314340
6325051040
7100425336
oct26213600
911878186
105838720
113328798
121b56a80
131295784
14abdb56
157a4ed0
hex591780

5838720 has 64 divisors (see below), whose sum is σ = 18617040. Its totient is φ = 1556480.

The previous prime is 5838713. The next prime is 5838727. The reversal of 5838720 is 278385.

It is an interprime number because it is at equal distance from previous prime (5838713) and next prime (5838727).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 3440.

Almost surely, 25838720 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 5838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308520).

5838720 is an abundant number, since it is smaller than the sum of its proper divisors (12778320).

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

5838720 is a wasteful number, since it uses less digits than its factorization.

5838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5838720 is about 2416.3443463215. The cubic root of 5838720 is about 180.0691092652.

The spelling of 5838720 in words is "five million, eight hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3041 6082 9123 12164 15205 18246 24328 30410 36492 45615 48656 60820 72984 91230 97312 121640 145968 182460 194624 243280 291936 364920 389248 486560 583872 729840 973120 1167744 1459680 1946240 2919360 5838720