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20160560 = 2457237139
BaseRepresentation
bin100110011101…
…0000000110000
31101221021002102
41030322000300
520130114220
62000035532
7333235100
oct114720060
941837072
1020160560
111041aa22
126902ba8
13423b534
14296b200
151b83775
hex133a030

20160560 has 120 divisors (see below), whose sum is σ = 56402640. Its totient is φ = 6676992.

The previous prime is 20160541. The next prime is 20160583. The reversal of 20160560 is 6506102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 144971 + ... + 145109.

It is an arithmetic number, because the mean of its divisors is an integer number (470022).

Almost surely, 220160560 is an apocalyptic number.

20160560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28201320).

20160560 is an abundant number, since it is smaller than the sum of its proper divisors (36242080).

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

20160560 is a wasteful number, since it uses less digits than its factorization.

20160560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 20160560 is about 4490.0512246521. The cubic root of 20160560 is about 272.1662046489.

Adding to 20160560 its reverse (6506102), we get a palindrome (26666662).

It can be divided in two parts, 20160 and 560, that multiplied together give a square (11289600 = 33602).

The spelling of 20160560 in words is "twenty million, one hundred sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 49 56 70 74 80 98 112 139 140 148 185 196 245 259 278 280 296 370 392 490 518 556 560 592 695 740 784 973 980 1036 1112 1295 1390 1480 1813 1946 1960 2072 2224 2590 2780 2960 3626 3892 3920 4144 4865 5143 5180 5560 6811 7252 7784 9065 9730 10286 10360 11120 13622 14504 15568 18130 19460 20572 20720 25715 27244 29008 34055 36001 36260 38920 41144 51430 54488 68110 72002 72520 77840 82288 102860 108976 136220 144004 145040 180005 205720 252007 272440 288008 360010 411440 504014 544880 576016 720020 1008028 1260035 1440040 2016056 2520070 2880080 4032112 5040140 10080280 20160560