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5480160 = 253572233
BaseRepresentation
bin10100111001111011100000
3101022102100220
4110321323200
52400331120
6313243040
764403100
oct24717340
911272326
105480160
113103364
121a03480
13119b4ca
14a29200
15733b40
hex539ee0

5480160 has 144 divisors (see below), whose sum is σ = 20167056. Its totient is φ = 1247232.

The previous prime is 5480143. The next prime is 5480173. The reversal of 5480160 is 610845.

5480160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5480160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23404 + ... + 23636.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

Almost surely, 25480160 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 5480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528).

5480160 is an abundant number, since it is smaller than the sum of its proper divisors (14686896).

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

5480160 is a wasteful number, since it uses less digits than its factorization.

5480160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5480160 is about 2340.9741562008. The cubic root of 5480160 is about 176.3049122194.

The spelling of 5480160 in words is "five million, four hundred eighty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 233 240 245 280 294 336 392 420 466 480 490 560 588 672 699 735 784 840 932 980 1120 1165 1176 1398 1470 1568 1631 1680 1864 1960 2330 2352 2796 2940 3262 3360 3495 3728 3920 4660 4704 4893 5592 5880 6524 6990 7456 7840 8155 9320 9786 11184 11417 11760 13048 13980 16310 18640 19572 22368 22834 23520 24465 26096 27960 32620 34251 37280 39144 45668 48930 52192 55920 57085 65240 68502 78288 91336 97860 111840 114170 130480 137004 156576 171255 182672 195720 228340 260960 274008 342510 365344 391440 456680 548016 685020 782880 913360 1096032 1370040 1826720 2740080 5480160