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20305000 = 235431131
BaseRepresentation
bin100110101110…
…1010001101000
31102012121020001
41031131101220
520144230000
62003112344
7334406152
oct115352150
942177201
1020305000
11105094a1
1269726b4
13428c1c1
1429a7ad2
151bb146a
hex135d468

20305000 has 80 divisors (see below), whose sum is σ = 49484160. Its totient is φ = 7800000.

The previous prime is 20304997. The next prime is 20305003. The reversal of 20305000 is 50302.

It is an interprime number because it is at equal distance from previous prime (20304997) and next prime (20305003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20305003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154935 + ... + 155065.

It is an arithmetic number, because the mean of its divisors is an integer number (618552).

Almost surely, 220305000 is an apocalyptic number.

20305000 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 20305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24742080).

20305000 is an abundant number, since it is smaller than the sum of its proper divisors (29179160).

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

20305000 is a wasteful number, since it uses less digits than its factorization.

20305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 20305000 is about 4506.1069672168. The cubic root of 20305000 is about 272.8146353119.

Adding to 20305000 its reverse (50302), we get a palindrome (20355302).

The spelling of 20305000 in words is "twenty million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 131 155 200 248 250 262 310 500 524 620 625 655 775 1000 1048 1240 1250 1310 1550 2500 2620 3100 3275 3875 4061 5000 5240 6200 6550 7750 8122 13100 15500 16244 16375 19375 20305 26200 31000 32488 32750 38750 40610 65500 77500 81220 81875 101525 131000 155000 162440 163750 203050 327500 406100 507625 655000 812200 1015250 2030500 2538125 4061000 5076250 10152500 20305000