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20704600 = 2352723643
BaseRepresentation
bin100111011111…
…0110101011000
31102221220101001
41032332311120
520300021400
62015434344
7340662160
oct116766530
942856331
1020704600
1110761744
126b259b4
13439c057
142a6d5a0
151c3ea6a
hex13bed58

20704600 has 96 divisors (see below), whose sum is σ = 57496320. Its totient is φ = 6779520.

The previous prime is 20704583. The next prime is 20704601. The reversal of 20704600 is 640702.

It is a super-2 number, since 2×207046002 = 857360922320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20704601) 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, 31879 + ... + 32521.

It is an arithmetic number, because the mean of its divisors is an integer number (598920).

Almost surely, 220704600 is an apocalyptic number.

20704600 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 20704600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748160).

20704600 is an abundant number, since it is smaller than the sum of its proper divisors (36791720).

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

20704600 is a wasteful number, since it uses less digits than its factorization.

20704600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 20704600 is about 4550.2307633789. The cubic root of 20704600 is about 274.5926752130.

It can be divided in two parts, 2070 and 4600, that added together give a triangular number (6670 = T115).

The spelling of 20704600 in words is "twenty million, seven hundred four thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 643 644 700 805 920 1150 1286 1288 1400 1610 2300 2572 3215 3220 4025 4501 4600 5144 6430 6440 8050 9002 12860 14789 16075 16100 18004 22505 25720 29578 32150 32200 36008 45010 59156 64300 73945 90020 103523 112525 118312 128600 147890 180040 207046 225050 295780 369725 414092 450100 517615 591560 739450 828184 900200 1035230 1478900 2070460 2588075 2957800 4140920 5176150 10352300 20704600