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5505480 = 2332541373
BaseRepresentation
bin10101000000000111001000
3101100201002200
4111000013020
52402133410
6314000200
764536651
oct25000710
911321080
105505480
113120392
121a16060
1311a9ba6
14a34528
1573b3c0
hex5401c8

5505480 has 96 divisors (see below), whose sum is σ = 18378360. Its totient is φ = 1428480.

The previous prime is 5505449. The next prime is 5505527. The reversal of 5505480 is 845055.

5505480 = T109 + T110 + ... + T324.

5505480 is digitally balanced in base 5, 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 4 ways, for example, as 3090564 + 2414916 = 1758^2 + 1554^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14574 + ... + 14946.

Almost surely, 25505480 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 5505480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9189180).

5505480 is an abundant number, since it is smaller than the sum of its proper divisors (12872880).

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

5505480 is a wasteful number, since it uses less digits than its factorization.

5505480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5505480 is about 2346.3759289594. The cubic root of 5505480 is about 176.5760224848.

The spelling of 5505480 in words is "five million, five hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 373 410 492 615 738 746 820 984 1119 1230 1476 1492 1640 1845 1865 2238 2460 2952 2984 3357 3690 3730 4476 4920 5595 6714 7380 7460 8952 11190 13428 14760 14920 15293 16785 22380 26856 30586 33570 44760 45879 61172 67140 76465 91758 122344 134280 137637 152930 183516 229395 275274 305860 367032 458790 550548 611720 688185 917580 1101096 1376370 1835160 2752740 5505480