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5284080 = 2432541179
BaseRepresentation
bin10100001010000011110000
3100221110101200
4110022003300
52323042310
6305131200
762625324
oct24120360
910843350
105284080
112a8a00a
121929b00
131130199
149b7984
156e59c0
hex50a0f0

5284080 has 120 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1367040.

The previous prime is 5284079. The next prime is 5284087. The reversal of 5284080 is 804825.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5284087) 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, 29431 + ... + 29609.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 25284080 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 5284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

5284080 is an abundant number, since it is smaller than the sum of its proper divisors (12996000).

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

5284080 is a wasteful number, since it uses less digits than its factorization.

5284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

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

The square root of 5284080 is about 2298.7126832208. The cubic root of 5284080 is about 174.1765943940.

The spelling of 5284080 in words is "five million, two hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 179 180 205 240 246 328 358 360 369 410 492 537 615 656 716 720 738 820 895 984 1074 1230 1432 1476 1611 1640 1790 1845 1968 2148 2460 2685 2864 2952 3222 3280 3580 3690 4296 4920 5370 5904 6444 7160 7339 7380 8055 8592 9840 10740 12888 14320 14678 14760 16110 21480 22017 25776 29356 29520 32220 36695 42960 44034 58712 64440 66051 73390 88068 110085 117424 128880 132102 146780 176136 220170 264204 293560 330255 352272 440340 528408 587120 660510 880680 1056816 1321020 1761360 2642040 5284080