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5560800 = 253527331
BaseRepresentation
bin10101001101100111100000
3101110111222120
4111031213200
52410421200
6315104240
765160150
oct25154740
911414876
105560800
113158a03
121a42080
1311c911b
14a4a760
1574c9a0
hex54d9e0

5560800 has 144 divisors (see below), whose sum is σ = 20748672. Its totient is φ = 1267200.

The previous prime is 5560781. The next prime is 5560801. The reversal of 5560800 is 80655.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5560801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16635 + ... + 16965.

It is an arithmetic number, because the mean of its divisors is an integer number (144088).

Almost surely, 25560800 is an apocalyptic number.

5560800 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 5560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374336).

5560800 is an abundant number, since it is smaller than the sum of its proper divisors (15187872).

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

5560800 is a wasteful number, since it uses less digits than its factorization.

5560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5560800 is about 2358.1348561946. The cubic root of 5560800 is about 177.1654745414.

The spelling of 5560800 in words is "five million, five hundred sixty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 331 336 350 400 420 480 525 560 600 662 672 700 800 840 993 1050 1120 1200 1324 1400 1655 1680 1986 2100 2317 2400 2648 2800 3310 3360 3972 4200 4634 4965 5296 5600 6620 6951 7944 8275 8400 9268 9930 10592 11585 13240 13902 15888 16550 16800 18536 19860 23170 24825 26480 27804 31776 33100 34755 37072 39720 46340 49650 52960 55608 57925 66200 69510 74144 79440 92680 99300 111216 115850 132400 139020 158880 173775 185360 198600 222432 231700 264800 278040 347550 370720 397200 463400 556080 695100 794400 926800 1112160 1390200 1853600 2780400 5560800