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5726160 = 2433511241
BaseRepresentation
bin10101110101111111010000
3101202220211000
4111311333100
52431214120
6322422000
766446226
oct25657720
911686730
105726160
113261170
121b01900
13125647b
14a90b16
15781990
hex575fd0

5726160 has 160 divisors (see below), whose sum is σ = 21605760. Its totient is φ = 1382400.

The previous prime is 5726159. The next prime is 5726179. The reversal of 5726160 is 616275.

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, 23640 + ... + 23880.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 25726160 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 5726160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880).

5726160 is an abundant number, since it is smaller than the sum of its proper divisors (15879600).

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

5726160 is a wasteful number, since it uses less digits than its factorization.

5726160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5726160 is about 2392.9396147835. The cubic root of 5726160 is about 178.9044567779.

It can be divided in two parts, 5726 and 160, that added together give a triangular number (5886 = T108).

The spelling of 5726160 in words is "five million, seven hundred twenty-six thousand, one hundred sixty".

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 99 108 110 120 132 135 144 165 176 180 198 216 220 240 241 264 270 297 330 360 396 432 440 482 495 528 540 594 660 720 723 792 880 964 990 1080 1188 1205 1320 1446 1485 1584 1928 1980 2160 2169 2376 2410 2640 2651 2892 2970 3615 3856 3960 4338 4752 4820 5302 5784 5940 6507 7230 7920 7953 8676 9640 10604 10845 11568 11880 13014 13255 14460 15906 17352 19280 21208 21690 23760 23859 26028 26510 28920 31812 32535 34704 39765 42416 43380 47718 52056 53020 57840 63624 65070 71577 79530 86760 95436 104112 106040 119295 127248 130140 143154 159060 173520 190872 212080 238590 260280 286308 318120 357885 381744 477180 520560 572616 636240 715770 954360 1145232 1431540 1908720 2863080 5726160