[go: up one dir, main page]

Search a number
-
+
5596200 = 2332523109
BaseRepresentation
bin10101010110010000101000
3101112022112200
4111112100220
52413034300
6315540200
765365311
oct25262050
911468480
105596200
113182565
121a5a660
13120c27c
14a59608
15758200
hex556428

5596200 has 72 divisors (see below), whose sum is σ = 18799950. Its totient is φ = 1491840.

The previous prime is 5596193. The next prime is 5596223. The reversal of 5596200 is 26955.

It can be written as a sum of positive squares in 3 ways, for example, as 3218436 + 2377764 = 1794^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 246 + ... + 3354.

Almost surely, 25596200 is an apocalyptic number.

5596200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5596200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399975).

5596200 is an abundant number, since it is smaller than the sum of its proper divisors (13203750).

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

5596200 is a wasteful number, since it uses less digits than its factorization.

5596200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5596200 is about 2365.6288804460. The cubic root of 5596200 is about 177.5406241739.

The spelling of 5596200 in words is "five million, five hundred ninety-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 3109 6218 9327 12436 15545 18654 24872 27981 31090 37308 46635 55962 62180 74616 77725 93270 111924 124360 139905 155450 186540 223848 233175 279810 310900 373080 466350 559620 621800 699525 932700 1119240 1399050 1865400 2798100 5596200