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5530080 = 253541281
BaseRepresentation
bin10101000110000111100000
3101101221211210
4111012013200
52403430310
6314310120
765001453
oct25060740
911357753
105530080
113137916
121a28340
1311b814a
14a3d49a
15743820
hex5461e0

5530080 has 96 divisors (see below), whose sum is σ = 17908128. Its totient is φ = 1433600.

The previous prime is 5530069. The next prime is 5530087. The reversal of 5530080 is 800355.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5530087) 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, 19540 + ... + 19820.

It is an arithmetic number, because the mean of its divisors is an integer number (186543).

Almost surely, 25530080 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 5530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8954064).

5530080 is an abundant number, since it is smaller than the sum of its proper divisors (12378048).

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

5530080 is a wasteful number, since it uses less digits than its factorization.

5530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5530080 is about 2351.6122129297. The cubic root of 5530080 is about 176.8386284971.

It can be divided in two parts, 55 and 30080, that added together give a triangular number (30135 = T245).

The spelling of 5530080 in words is "five million, five hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 281 328 410 480 492 562 615 656 820 843 984 1124 1230 1312 1405 1640 1686 1968 2248 2460 2810 3280 3372 3936 4215 4496 4920 5620 6560 6744 8430 8992 9840 11240 11521 13488 16860 19680 22480 23042 26976 33720 34563 44960 46084 57605 67440 69126 92168 115210 134880 138252 172815 184336 230420 276504 345630 368672 460840 553008 691260 921680 1106016 1382520 1843360 2765040 5530080