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20790560 = 255719977
BaseRepresentation
bin100111101001…
…1110100100000
31110010021021202
41033103310200
520310244220
62021340332
7341500610
oct117236440
943107252
1020790560
111081028a
126b676a8
1343cc20b
142a92a40
151c5a275
hex13d3d20

20790560 has 96 divisors (see below), whose sum is σ = 59149440. Its totient is φ = 6746112.

The previous prime is 20790557. The next prime is 20790563. The reversal of 20790560 is 6509702.

It is an interprime number because it is at equal distance from previous prime (20790557) and next prime (20790563).

It is a super-2 number, since 2×207905602 = 864494770227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20790563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20792 + ... + 21768.

It is an arithmetic number, because the mean of its divisors is an integer number (616140).

Almost surely, 220790560 is an apocalyptic number.

20790560 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 20790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29574720).

20790560 is an abundant number, since it is smaller than the sum of its proper divisors (38358880).

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

20790560 is a wasteful number, since it uses less digits than its factorization.

20790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 20790560 is about 4559.6666544825. Note that the first 4 decimals coincide. The cubic root of 20790560 is about 274.9721624714.

The spelling of 20790560 in words is "twenty million, seven hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 977 1064 1120 1330 1520 1954 2128 2660 3040 3908 4256 4885 5320 6839 7816 9770 10640 13678 15632 18563 19540 21280 27356 31264 34195 37126 39080 54712 68390 74252 78160 92815 109424 129941 136780 148504 156320 185630 218848 259882 273560 297008 371260 519764 547120 594016 649705 742520 1039528 1094240 1299410 1485040 2079056 2598820 2970080 4158112 5197640 10395280 20790560