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20840680 = 2357531
BaseRepresentation
bin100111110000…
…0000011101000
31110012211001001
41033200003220
520313400210
62022404344
7342100000
oct117400350
943184031
1020840680
1110844a03
126b906b4
134418c83
142aa7000
151c6a03a
hex13e00e8

20840680 has 96 divisors (see below), whose sum is σ = 56471040. Its totient is φ = 6914880.

The previous prime is 20840653. The next prime is 20840683. The reversal of 20840680 is 8604802.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20840683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672265 + ... + 672295.

It is an arithmetic number, because the mean of its divisors is an integer number (588240).

Almost surely, 220840680 is an apocalyptic number.

20840680 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 20840680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28235520).

20840680 is an abundant number, since it is smaller than the sum of its proper divisors (35630360).

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

20840680 is an frugal number, since it uses more digits than its factorization.

20840680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20840680 is about 4565.1593619500. The cubic root of 20840680 is about 275.1929444851.

The spelling of 20840680 in words is "twenty million, eight hundred forty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 343 392 434 490 620 686 868 980 1085 1240 1372 1519 1715 1736 1960 2170 2401 2744 3038 3430 4340 4802 6076 6860 7595 8680 9604 10633 12005 12152 13720 15190 16807 19208 21266 24010 30380 33614 42532 48020 53165 60760 67228 74431 84035 85064 96040 106330 134456 148862 168070 212660 297724 336140 372155 425320 521017 595448 672280 744310 1042034 1488620 2084068 2605085 2977240 4168136 5210170 10420340 20840680