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5932240 = 245292557
BaseRepresentation
bin10110101000010011010000
3102011101111121
4112220103100
53004312430
6331052024
7101265106
oct26502320
912141447
105932240
113391a86
121ba1014
1312c9202
14b05c76
157c2a7a
hex5a84d0

5932240 has 40 divisors (see below), whose sum is σ = 14273640. Its totient is φ = 2290176.

The previous prime is 5932231. The next prime is 5932243. The reversal of 5932240 is 422395.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 512656 + 5419584 = 716^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5932243) 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, 1042 + ... + 3598.

It is an arithmetic number, because the mean of its divisors is an integer number (356841).

Almost surely, 25932240 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 5932240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136820).

5932240 is an abundant number, since it is smaller than the sum of its proper divisors (8341400).

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

5932240 is a wasteful number, since it uses less digits than its factorization.

5932240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5932240 is about 2435.6190178269. The cubic root of 5932240 is about 181.0254230032.

The spelling of 5932240 in words is "five million, nine hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2557 5114 10228 12785 20456 25570 40912 51140 74153 102280 148306 204560 296612 370765 593224 741530 1186448 1483060 2966120 5932240