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5521200 = 2435243107
BaseRepresentation
bin10101000011111100110000
3101101111122220
4111003330300
52403134300
6314201040
764633536
oct25037460
911344586
105521200
113131183
121a23180
1311b40a9
14a3a156
15740da0
hex543f30

5521200 has 120 divisors (see below), whose sum is σ = 18266688. Its totient is φ = 1424640.

The previous prime is 5521199. The next prime is 5521207. The reversal of 5521200 is 21255.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5521200.

It is not an unprimeable number, because it can be changed into a prime (5521207) 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, 51547 + ... + 51653.

Almost surely, 25521200 is an apocalyptic number.

5521200 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 5521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133344).

5521200 is an abundant number, since it is smaller than the sum of its proper divisors (12745488).

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

5521200 is a wasteful number, since it uses less digits than its factorization.

5521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5521200 is about 2349.7233879757. The cubic root of 5521200 is about 176.7439241230.

Adding to 5521200 its reverse (21255), we get a palindrome (5542455).

Subtracting from 5521200 its reverse (21255), we obtain a palindrome (5499945).

The spelling of 5521200 in words is "five million, five hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 107 120 129 150 172 200 214 215 240 258 300 321 344 400 428 430 516 535 600 642 645 688 856 860 1032 1070 1075 1200 1284 1290 1605 1712 1720 2064 2140 2150 2568 2580 2675 3210 3225 3440 4280 4300 4601 5136 5160 5350 6420 6450 8025 8560 8600 9202 10320 10700 12840 12900 13803 16050 17200 18404 21400 23005 25680 25800 27606 32100 36808 42800 46010 51600 55212 64200 69015 73616 92020 110424 115025 128400 138030 184040 220848 230050 276060 345075 368080 460100 552120 690150 920200 1104240 1380300 1840400 2760600 5521200