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5280480 = 2532519193
BaseRepresentation
bin10100001001001011100000
3100221021110100
4110021023200
52322433410
6305102400
762611662
oct24111340
910837410
105280480
112a87337
121927a00
13112b65a
149b6532
156e48c0
hex5092e0

5280480 has 144 divisors (see below), whose sum is σ = 19066320. Its totient is φ = 1327104.

The previous prime is 5280463. The next prime is 5280481. The reversal of 5280480 is 840825.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5280481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27264 + ... + 27456.

It is an arithmetic number, because the mean of its divisors is an integer number (132405).

Almost surely, 25280480 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 5280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533160).

5280480 is an abundant number, since it is smaller than the sum of its proper divisors (13785840).

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

5280480 is a wasteful number, since it uses less digits than its factorization.

5280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5280480 is about 2297.9295028351. The cubic root of 5280480 is about 174.1370303834.

The spelling of 5280480 in words is "five million, two hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 193 228 240 285 288 304 342 360 380 386 456 480 570 579 608 684 720 760 772 855 912 965 1140 1158 1368 1440 1520 1544 1710 1737 1824 1930 2280 2316 2736 2895 3040 3088 3420 3474 3667 3860 4560 4632 5472 5790 6176 6840 6948 7334 7720 8685 9120 9264 11001 11580 13680 13896 14668 15440 17370 18335 18528 22002 23160 27360 27792 29336 30880 33003 34740 36670 44004 46320 55005 55584 58672 66006 69480 73340 88008 92640 110010 117344 132012 138960 146680 165015 176016 220020 264024 277920 293360 330030 352032 440040 528048 586720 660060 880080 1056096 1320120 1760160 2640240 5280480