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56098560 = 283572087
BaseRepresentation
bin1101010111111…
…1111100000000
310220120002202110
43111333330000
5103330123220
65322215320
71250554440
oct325777400
9126502673
1056098560
1129736751
1216954540
13b81221b
147644120
154dd1be0
hex357ff00

56098560 has 144 divisors (see below), whose sum is σ = 204857856. Its totient is φ = 12816384.

The previous prime is 56098547. The next prime is 56098573. The reversal of 56098560 is 6589065.

It is an interprime number because it is at equal distance from previous prime (56098547) and next prime (56098573).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25837 + ... + 27923.

It is an arithmetic number, because the mean of its divisors is an integer number (1422624).

Almost surely, 256098560 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 56098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102428928).

56098560 is an abundant number, since it is smaller than the sum of its proper divisors (148759296).

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

56098560 is a wasteful number, since it uses less digits than its factorization.

56098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 56098560 is about 7489.8971955562. The cubic root of 56098560 is about 382.8105555975.

The spelling of 56098560 in words is "fifty-six million, ninety-eight thousand, five 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 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2087 2240 2688 3360 3840 4174 4480 5376 6261 6720 8348 8960 10435 12522 13440 14609 16696 20870 25044 26880 29218 31305 33392 41740 43827 50088 58436 62610 66784 73045 83480 87654 100176 116872 125220 133568 146090 166960 175308 200352 219135 233744 250440 267136 292180 333920 350616 400704 438270 467488 500880 534272 584360 667840 701232 801408 876540 934976 1001760 1168720 1335680 1402464 1602816 1753080 1869952 2003520 2337440 2671360 2804928 3506160 3739904 4007040 4674880 5609856 7012320 8014080 9349760 11219712 14024640 18699520 28049280 56098560