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5536080 = 2433511233
BaseRepresentation
bin10101000111100101010000
3101102021002000
4111013211100
52404123310
6314354000
765025114
oct25074520
911367060
105536080
113141380
121a2b900
1311baab4
14a41744
157454c0
hex547950

5536080 has 160 divisors (see below), whose sum is σ = 20891520. Its totient is φ = 1336320.

The previous prime is 5536079. The next prime is 5536103. The reversal of 5536080 is 806355.

5536080 is a `hidden beast` number, since 5 + 53 + 608 + 0 = 666.

5536080 is digitally balanced in base 5, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23644 + ... + 23876.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

Almost surely, 25536080 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 5536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

5536080 is an abundant number, since it is smaller than the sum of its proper divisors (15355440).

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

5536080 is a wasteful number, since it uses less digits than its factorization.

5536080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5536080 is about 2352.8875876250. The cubic root of 5536080 is about 176.9025605602.

The spelling of 5536080 in words is "five million, five hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 233 240 264 270 297 330 360 396 432 440 466 495 528 540 594 660 699 720 792 880 932 990 1080 1165 1188 1320 1398 1485 1584 1864 1980 2097 2160 2330 2376 2563 2640 2796 2970 3495 3728 3960 4194 4660 4752 5126 5592 5940 6291 6990 7689 7920 8388 9320 10252 10485 11184 11880 12582 12815 13980 15378 16776 18640 20504 20970 23067 23760 25164 25630 27960 30756 31455 33552 38445 41008 41940 46134 50328 51260 55920 61512 62910 69201 76890 83880 92268 100656 102520 115335 123024 125820 138402 153780 167760 184536 205040 230670 251640 276804 307560 346005 369072 461340 503280 553608 615120 692010 922680 1107216 1384020 1845360 2768040 5536080