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5832240 = 2435191279
BaseRepresentation
bin10110001111111000110000
3101222022022220
4112033320300
52443112430
6325001040
7100400421
oct26177060
911868286
105832240
113323937
121b53180
13129283b
14abb648
157a3110
hex58fe30

5832240 has 80 divisors (see below), whose sum is σ = 19046400. Its totient is φ = 1472256.

The previous prime is 5832217. The next prime is 5832257. The reversal of 5832240 is 422385.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 54 + 82 + 314 + 2 + 220 + 4 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 5832240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3921 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (238080).

Almost surely, 25832240 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 5832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523200).

5832240 is an abundant number, since it is smaller than the sum of its proper divisors (13214160).

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

5832240 is a wasteful number, since it uses less digits than its factorization.

5832240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5832240 is about 2415.0031055881. The cubic root of 5832240 is about 180.0024691019.

The spelling of 5832240 in words is "five million, eight hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1279 1520 2280 2558 3837 4560 5116 6395 7674 10232 12790 15348 19185 20464 24301 25580 30696 38370 48602 51160 61392 72903 76740 97204 102320 121505 145806 153480 194408 243010 291612 306960 364515 388816 486020 583224 729030 972040 1166448 1458060 1944080 2916120 5832240