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5983920 = 243258311
BaseRepresentation
bin10110110100111010110000
3102021000101200
4112310322300
53012441140
6332131200
7101601555
oct26647260
912230350
105983920
113417898
122006b00
1313168a7
14b1aa2c
157d3030
hex5b4eb0

5983920 has 60 divisors (see below), whose sum is σ = 20098416. Its totient is φ = 1595520.

The previous prime is 5983919. The next prime is 5983921. The reversal of 5983920 is 293895.

5983920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5983919) and next prime (5983921).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5983921) 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, 3436 + ... + 4875.

Almost surely, 25983920 is an apocalyptic number.

It is an amenable number.

5983920 is an abundant number, since it is smaller than the sum of its proper divisors (14114496).

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

5983920 is a wasteful number, since it uses less digits than its factorization.

5983920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5983920 is about 2446.2052244241. The cubic root of 5983920 is about 181.5495846130.

It can be divided in two parts, 5983 and 920, that added together give a triangular number (6903 = T117).

The spelling of 5983920 in words is "five million, nine hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 8311 16622 24933 33244 41555 49866 66488 74799 83110 99732 124665 132976 149598 166220 199464 249330 299196 332440 373995 398928 498660 598392 664880 747990 997320 1196784 1495980 1994640 2991960 5983920