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20740500 = 22325311419
BaseRepresentation
bin100111100011…
…1100110010100
31110000201121200
41033013212110
520302144000
62020312500
7341201634
oct117074624
943021550
1020740500
1110786710
126b42730
1343b24b1
142a7c6c4
151c4a500
hex13c7994

20740500 has 144 divisors (see below), whose sum is σ = 71547840. Its totient is φ = 5016000.

The previous prime is 20740483. The next prime is 20740501. The reversal of 20740500 is 504702.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20740501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49291 + ... + 49709.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 220740500 is an apocalyptic number.

20740500 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 20740500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920).

20740500 is an abundant number, since it is smaller than the sum of its proper divisors (50807340).

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

20740500 is a wasteful number, since it uses less digits than its factorization.

20740500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20740500 is about 4554.1739097228. The cubic root of 20740500 is about 274.7512902865.

The spelling of 20740500 in words is "twenty million, seven hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 419 450 495 500 550 660 750 825 838 900 990 1100 1125 1257 1375 1500 1650 1676 1980 2095 2250 2475 2514 2750 3300 3771 4125 4190 4500 4609 4950 5028 5500 6285 7542 8250 8380 9218 9900 10475 12375 12570 13827 15084 16500 18436 18855 20950 23045 24750 25140 27654 31425 37710 41481 41900 46090 49500 52375 55308 62850 69135 75420 82962 92180 94275 104750 115225 125700 138270 157125 165924 188550 207405 209500 230450 276540 314250 345675 377100 414810 460900 471375 576125 628500 691350 829620 942750 1037025 1152250 1382700 1728375 1885500 2074050 2304500 3456750 4148100 5185125 6913500 10370250 20740500