Search a number
-
+
5283960 = 2335114003
BaseRepresentation
bin10100001010000001111000
3100221110020020
4110022001320
52323041320
6305130440
762625063
oct24120170
910843206
105283960
112a89a10
121929a20
131130106
149b78da
156e5940
hex50a078

5283960 has 64 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1280640.

The previous prime is 5283937. The next prime is 5283961. The reversal of 5283960 is 693825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5283961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682 + ... + 3321.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 25283960 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 5283960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

5283960 is an abundant number, since it is smaller than the sum of its proper divisors (12013320).

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

5283960 is a wasteful number, since it uses less digits than its factorization.

5283960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5283960 is about 2298.6865815069. The cubic root of 5283960 is about 174.1752758832.

The spelling of 5283960 in words is "five million, two hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4003 8006 12009 16012 20015 24018 32024 40030 44033 48036 60045 80060 88066 96072 120090 132099 160120 176132 220165 240180 264198 352264 440330 480360 528396 660495 880660 1056792 1320990 1761320 2641980 5283960