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5505280 = 285111723
BaseRepresentation
bin10101000000000100000000
3101100200211021
4111000010000
52402132110
6313555224
764536244
oct25000400
911320737
105505280
113120220
121a15b14
1311a9a81
14a34424
1573b2da
hex540100

5505280 has 144 divisors (see below), whose sum is σ = 15894144. Its totient is φ = 1802240.

The previous prime is 5505239. The next prime is 5505287. The reversal of 5505280 is 825055.

5505280 = T375 + T376 + ... + T440.

It is not an unprimeable number, because it can be changed into a prime (5505287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239349 + ... + 239371.

It is an arithmetic number, because the mean of its divisors is an integer number (110376).

Almost surely, 25505280 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 5505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947072).

5505280 is an abundant number, since it is smaller than the sum of its proper divisors (10388864).

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

5505280 is a wasteful number, since it uses less digits than its factorization.

5505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5505280 is about 2346.3333096557. Note that the first 4 decimals coincide. The cubic root of 5505280 is about 176.5738842739.

The spelling of 5505280 in words is "five million, five hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 23 32 34 40 44 46 55 64 68 80 85 88 92 110 115 128 136 160 170 176 184 187 220 230 253 256 272 320 340 352 368 374 391 440 460 506 544 640 680 704 736 748 782 880 920 935 1012 1088 1265 1280 1360 1408 1472 1496 1564 1760 1840 1870 1955 2024 2176 2530 2720 2816 2944 2992 3128 3520 3680 3740 3910 4048 4301 4352 5060 5440 5888 5984 6256 7040 7360 7480 7820 8096 8602 10120 10880 11968 12512 14080 14720 14960 15640 16192 17204 20240 21505 21760 23936 25024 29440 29920 31280 32384 34408 40480 43010 47872 50048 59840 62560 64768 68816 80960 86020 100096 119680 125120 137632 161920 172040 239360 250240 275264 323840 344080 500480 550528 688160 1101056 1376320 2752640 5505280