Search a number
-
+
20840760 = 2333523839
BaseRepresentation
bin100111110000…
…0000100111000
31110012211011000
41033200010320
520313401020
62022405000
7342100143
oct117400470
943184130
1020840760
1110844a76
126b90760
134419015
142aa705a
151c6a090
hex13e0138

20840760 has 128 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 5309568.

The previous prime is 20840717. The next prime is 20840761. The reversal of 20840760 is 6704802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20840761) 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, 24421 + ... + 25259.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 220840760 is an apocalyptic number.

20840760 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 20840760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

20840760 is an abundant number, since it is smaller than the sum of its proper divisors (51735240).

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

20840760 is a wasteful number, since it uses less digits than its factorization.

20840760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20840760 is about 4565.1681239578. The cubic root of 20840760 is about 275.1932966075.

The spelling of 20840760 in words is "twenty million, eight hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 839 920 1035 1080 1242 1380 1656 1678 2070 2484 2517 2760 3105 3356 4140 4195 4968 5034 6210 6712 7551 8280 8390 10068 12420 12585 15102 16780 19297 20136 22653 24840 25170 30204 33560 37755 38594 45306 50340 57891 60408 75510 77188 90612 96485 100680 113265 115782 151020 154376 173673 181224 192970 226530 231564 289455 302040 347346 385940 453060 463128 521019 578910 694692 771880 868365 906120 1042038 1157820 1389384 1736730 2084076 2315640 2605095 3473460 4168152 5210190 6946920 10420380 20840760