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20743060 = 22513217192
BaseRepresentation
bin100111100100…
…0001110010100
31110000212010111
41033020032110
520302234220
62020332404
7341212252
oct117101624
943025114
1020743060
1110788628
126b44104
1343b3700
142a7d5d2
151c4b15a
hex13c8394

20743060 has 108 divisors (see below), whose sum is σ = 52710588. Its totient is φ = 6829056.

The previous prime is 20743039. The next prime is 20743081. The reversal of 20743060 is 6034702.

It is an interprime number because it is at equal distance from previous prime (20743039) and next prime (20743081).

It can be written as a sum of positive squares in 6 ways, for example, as 1976836 + 18766224 = 1406^2 + 4332^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1091731 + ... + 1091749.

It is an arithmetic number, because the mean of its divisors is an integer number (488061).

Almost surely, 220743060 is an apocalyptic number.

20743060 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 20743060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26355294).

20743060 is an abundant number, since it is smaller than the sum of its proper divisors (31967528).

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

20743060 is a wasteful number, since it uses less digits than its factorization.

20743060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 20743060 is about 4554.4549619027. The cubic root of 20743060 is about 274.7625940058.

Adding to 20743060 its reverse (6034702), we get a palindrome (26777762).

The spelling of 20743060 in words is "twenty million, seven hundred forty-three thousand, sixty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 169 170 190 221 247 260 323 338 340 361 380 442 494 646 676 722 845 884 988 1105 1235 1292 1444 1615 1690 1805 2210 2470 2873 3211 3230 3380 3610 4199 4420 4693 4940 5746 6137 6422 6460 7220 8398 9386 11492 12274 12844 14365 16055 16796 18772 20995 23465 24548 28730 30685 32110 41990 46930 54587 57460 61009 61370 64220 79781 83980 93860 109174 122018 122740 159562 218348 244036 272935 305045 319124 398905 545870 610090 797810 1037153 1091740 1220180 1595620 2074306 4148612 5185765 10371530 20743060