Search a number
-
+
20032000300 = 22521344934319
BaseRepresentation
bin10010101010000000…
…000001000100101100
31220201001202001102001
4102222000001010230
5312011143002200
613111431142044
71306261123144
oct225200010454
956631661361
1020032000300
11854a5a6354
123a70814924
131b73200220
14d80655924
157c398c76a
hex4aa00112c

20032000300 has 72 divisors (see below), whose sum is σ = 46918872000. Its totient is φ = 7379742720.

The previous prime is 20032000231. The next prime is 20032000301. The reversal of 20032000300 is 300023002.

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

It is not an unprimeable number, because it can be changed into a prime (20032000301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566541 + ... + 600859.

It is an arithmetic number, because the mean of its divisors is an integer number (651651000).

Almost surely, 220032000300 is an apocalyptic number.

20032000300 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 20032000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459436000).

20032000300 is an abundant number, since it is smaller than the sum of its proper divisors (26886871700).

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

20032000300 is a wasteful number, since it uses less digits than its factorization.

20032000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34795 (or 34788 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 20032000300 its reverse (300023002), we get a palindrome (20332023302).

The spelling of 20032000300 in words is "twenty billion, thirty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 449 650 898 1300 1796 2245 4490 5837 8980 11225 11674 22450 23348 29185 34319 44900 58370 68638 116740 137276 145925 171595 291850 343190 446147 583700 686380 857975 892294 1715950 1784588 2230735 3431900 4461470 8922940 11153675 15409231 22307350 30818462 44614700 61636924 77046155 154092310 200320003 308184620 385230775 400640006 770461550 801280012 1001600015 1540923100 2003200030 4006400060 5008000075 10016000150 20032000300