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5521320 = 2332572313
BaseRepresentation
bin10101000011111110101000
3101101111211100
4111003332220
52403140240
6314201400
764634100
oct25037650
911344740
105521320
113131282
121a23260
1311b416c
14a3a200
15740e30
hex543fa8

5521320 has 144 divisors (see below), whose sum is σ = 20940660. Its totient is φ = 1257984.

The previous prime is 5521309. The next prime is 5521361. The reversal of 5521320 is 231255.

It is a happy number.

5521320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 933156 = 2142^2 + 966^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5521293 and 5521302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17484 + ... + 17796.

Almost surely, 25521320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5521320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470330).

5521320 is an abundant number, since it is smaller than the sum of its proper divisors (15419340).

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

5521320 is a wasteful number, since it uses less digits than its factorization.

5521320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5521320 is about 2349.7489227575. The cubic root of 5521320 is about 176.7452045884.

Adding to 5521320 its reverse (231255), we get a palindrome (5752575).

The spelling of 5521320 in words is "five million, five hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 313 315 360 392 420 441 490 504 588 626 630 735 840 882 939 980 1176 1252 1260 1470 1565 1764 1878 1960 2191 2205 2504 2520 2817 2940 3130 3528 3756 4382 4410 4695 5634 5880 6260 6573 7512 8764 8820 9390 10955 11268 12520 13146 14085 15337 17528 17640 18780 19719 21910 22536 26292 28170 30674 32865 37560 39438 43820 46011 52584 56340 61348 65730 76685 78876 87640 92022 98595 112680 122696 131460 138033 153370 157752 184044 197190 230055 262920 276066 306740 368088 394380 460110 552132 613480 690165 788760 920220 1104264 1380330 1840440 2760660 5521320