Search a number
-
+
5205780 = 2232528921
BaseRepresentation
bin10011110110111100010100
3100210110222200
4103312330110
52313041110
6303324500
762151126
oct23667424
910713880
105205780
112a361a8
1218b0730
131103658
14997216
156cc6c0
hex4f6f14

5205780 has 36 divisors (see below), whose sum is σ = 15791412. Its totient is φ = 1388160.

The previous prime is 5205773. The next prime is 5205787. The reversal of 5205780 is 875025.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5205773) and next prime (5205787).

It can be written as a sum of positive squares in 2 ways, for example, as 2883204 + 2322576 = 1698^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14281 + ... + 14640.

Almost surely, 25205780 is an apocalyptic number.

It is an amenable number.

5205780 is an abundant number, since it is smaller than the sum of its proper divisors (10585632).

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

5205780 is a wasteful number, since it uses less digits than its factorization.

5205780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28936 (or 28931 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5205780 is about 2281.6178470550. The cubic root of 5205780 is about 173.3119878383.

The spelling of 5205780 in words is "five million, two hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 28921 57842 86763 115684 144605 173526 260289 289210 347052 433815 520578 578420 867630 1041156 1301445 1735260 2602890 5205780