Search a number
-
+
5530400 = 255231223
BaseRepresentation
bin10101000110001100100000
3101101222021122
4111012030200
52403433100
6314311412
765002421
oct25061440
911358248
105530400
113138087
121a28568
1311b8335
14a3d648
15743985
hex546320

5530400 has 72 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 2131200.

The previous prime is 5530363. The next prime is 5530429. The reversal of 5530400 is 40355.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24689 + ... + 24911.

It is an arithmetic number, because the mean of its divisors is an integer number (194432).

Almost surely, 25530400 is an apocalyptic number.

5530400 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 5530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

5530400 is an abundant number, since it is smaller than the sum of its proper divisors (8468704).

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

5530400 is a wasteful number, since it uses less digits than its factorization.

5530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5530400 is about 2351.6802503742. The cubic root of 5530400 is about 176.8420393742.

Adding to 5530400 its reverse (40355), we get a palindrome (5570755).

The spelling of 5530400 in words is "five million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 223 248 310 400 446 496 620 775 800 892 992 1115 1240 1550 1784 2230 2480 3100 3568 4460 4960 5575 6200 6913 7136 8920 11150 12400 13826 17840 22300 24800 27652 34565 35680 44600 55304 69130 89200 110608 138260 172825 178400 221216 276520 345650 553040 691300 1106080 1382600 2765200 5530400