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20427000 = 2335311619
BaseRepresentation
bin100110111101…
…1000011111000
31102102210120120
41031323003320
520212131000
62005453240
7335424636
oct115730370
942383516
1020427000
1110592120
126a11220
1343028a9
1429da356
151bd76a0
hex137b0f8

20427000 has 128 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 4944000.

The previous prime is 20426993. The next prime is 20427007. The reversal of 20427000 is 72402.

It is an interprime number because it is at equal distance from previous prime (20426993) and next prime (20427007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20427007) 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, 32691 + ... + 33309.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 220427000 is an apocalyptic number.

20427000 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 20427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

20427000 is an abundant number, since it is smaller than the sum of its proper divisors (49211400).

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

20427000 is a wasteful number, since it uses less digits than its factorization.

20427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20427000 is about 4519.6238781562. The cubic root of 20427000 is about 273.3599352786.

Adding to 20427000 its reverse (72402), we get a palindrome (20499402).

The spelling of 20427000 in words is "twenty million, four hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 619 660 750 825 1000 1100 1238 1320 1375 1500 1650 1857 2200 2476 2750 3000 3095 3300 3714 4125 4952 5500 6190 6600 6809 7428 8250 9285 11000 12380 13618 14856 15475 16500 18570 20427 24760 27236 30950 33000 34045 37140 40854 46425 54472 61900 68090 74280 77375 81708 92850 102135 123800 136180 154750 163416 170225 185700 204270 232125 272360 309500 340450 371400 408540 464250 510675 619000 680900 817080 851125 928500 1021350 1361800 1702250 1857000 2042700 2553375 3404500 4085400 5106750 6809000 10213500 20427000