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20865040 = 2457193753
BaseRepresentation
bin100111110011…
…0000000010000
31110021001110021
41033212000100
520320140130
62023113224
7342231010
oct117460020
943231407
1020865040
1110861239
126ba2814
1344270a1
142ab1c40
151c7237a
hex13e6010

20865040 has 160 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 6469632.

The previous prime is 20865017. The next prime is 20865041. The reversal of 20865040 is 4056802.

It is a junction number, because it is equal to n+sod(n) for n = 20864996 and 20865014.

It is not an unprimeable number, because it can be changed into a prime (20865041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393654 + ... + 393706.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 220865040 is an apocalyptic number.

20865040 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 20865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533760).

20865040 is an abundant number, since it is smaller than the sum of its proper divisors (40202480).

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

20865040 is a wasteful number, since it uses less digits than its factorization.

20865040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 20865040 is about 4567.8266166745. The cubic root of 20865040 is about 275.3001241279.

The spelling of 20865040 in words is "twenty million, eight hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 37 38 40 53 56 70 74 76 80 95 106 112 133 140 148 152 185 190 212 259 265 266 280 296 304 370 371 380 424 518 530 532 560 592 665 703 740 742 760 848 1007 1036 1060 1064 1295 1330 1406 1480 1484 1520 1855 1961 2014 2072 2120 2128 2590 2660 2812 2960 2968 3515 3710 3922 4028 4144 4240 4921 5035 5180 5320 5624 5936 7030 7049 7420 7844 8056 9805 9842 10070 10360 10640 11248 13727 14060 14098 14840 15688 16112 19610 19684 20140 20720 24605 27454 28120 28196 29680 31376 35245 37259 39220 39368 40280 49210 54908 56240 56392 68635 70490 74518 78440 78736 80560 98420 109816 112784 137270 140980 149036 156880 186295 196840 219632 260813 274540 281960 298072 372590 393680 521626 549080 563920 596144 745180 1043252 1098160 1304065 1490360 2086504 2608130 2980720 4173008 5216260 10432520 20865040