Search a number
-
+
20307000 = 233537967
BaseRepresentation
bin100110101110…
…1110000111000
31102012200222010
41031131300320
520144311000
62003125520
7334415040
oct115356070
942180863
1020307000
111050aa4a
1269738a0
13429009c
1429a8720
151bb1d50
hex135dc38

20307000 has 128 divisors (see below), whose sum is σ = 72483840. Its totient is φ = 4636800.

The previous prime is 20306987. The next prime is 20307037. The reversal of 20307000 is 70302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20517 + ... + 21483.

It is an arithmetic number, because the mean of its divisors is an integer number (566280).

Almost surely, 220307000 is an apocalyptic number.

20307000 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 20307000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36241920).

20307000 is an abundant number, since it is smaller than the sum of its proper divisors (52176840).

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

20307000 is a wasteful number, since it uses less digits than its factorization.

20307000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 20307000 is about 4506.3288828047. The cubic root of 20307000 is about 272.8235922413.

Adding to 20307000 its reverse (70302), we get a palindrome (20377302).

The spelling of 20307000 in words is "twenty million, three hundred seven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 967 1000 1050 1400 1500 1750 1934 2100 2625 2901 3000 3500 3868 4200 4835 5250 5802 6769 7000 7736 9670 10500 11604 13538 14505 19340 20307 21000 23208 24175 27076 29010 33845 38680 40614 48350 54152 58020 67690 72525 81228 96700 101535 116040 120875 135380 145050 162456 169225 193400 203070 241750 270760 290100 338450 362625 406140 483500 507675 580200 676900 725250 812280 846125 967000 1015350 1353800 1450500 1692250 2030700 2538375 2901000 3384500 4061400 5076750 6769000 10153500 20307000