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20704140 = 22335231667
BaseRepresentation
bin100111011111…
…0101110001100
31102221212202000
41032332232030
520300013030
62015432300
7340660632
oct116765614
942855660
1020704140
1110761366
126b25690
13439ba92
142a6d352
151c3e860
hex13beb8c

20704140 has 96 divisors (see below), whose sum is σ = 67253760. Its totient is φ = 5277888.

The previous prime is 20704093. The next prime is 20704141. The reversal of 20704140 is 4140702.

It is a happy number.

It is a super-2 number, since 2×207041402 = 857322826279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20704141) 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, 11587 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (700560).

Almost surely, 220704140 is an apocalyptic number.

20704140 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 20704140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33626880).

20704140 is an abundant number, since it is smaller than the sum of its proper divisors (46549620).

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

20704140 is a wasteful number, since it uses less digits than its factorization.

20704140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20704140 is about 4550.1802162112. The cubic root of 20704140 is about 274.5906416301.

Adding to 20704140 its reverse (4140702), we get a palindrome (24844842).

The spelling of 20704140 in words is "twenty million, seven hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 1667 2070 2484 3105 3334 4140 5001 6210 6668 8335 10002 12420 15003 16670 20004 25005 30006 33340 38341 45009 50010 60012 75015 76682 90018 100020 115023 150030 153364 180036 191705 225045 230046 300060 345069 383410 450090 460092 575115 690138 766820 900180 1035207 1150230 1380276 1725345 2070414 2300460 3450690 4140828 5176035 6901380 10352070 20704140