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20300500 = 2253113691
BaseRepresentation
bin100110101110…
…0001011010100
31102012101001101
41031130023110
520144104000
62003035444
7334360063
oct115341324
942171041
1020300500
1110506080
12696bb84
13428a13c
1429a61da
151baee6a
hex135c2d4

20300500 has 48 divisors (see below), whose sum is σ = 48379968. Its totient is φ = 7380000.

The previous prime is 20300491. The next prime is 20300507. The reversal of 20300500 is 500302.

It is a super-2 number, since 2×203005002 = 824220600500000, which contains 22 as substring.

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 (20300507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3655 + ... + 7345.

It is an arithmetic number, because the mean of its divisors is an integer number (1007916).

Almost surely, 220300500 is an apocalyptic number.

20300500 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 20300500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24189984).

20300500 is an abundant number, since it is smaller than the sum of its proper divisors (28079468).

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

20300500 is a wasteful number, since it uses less digits than its factorization.

20300500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3709 counting only the distinct ones).

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

The square root of 20300500 is about 4505.6076171811. The cubic root of 20300500 is about 272.7944800699.

Adding to 20300500 its reverse (500302), we get a palindrome (20800802).

The spelling of 20300500 in words is "twenty million, three hundred thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 3691 5500 7382 14764 18455 36910 40601 73820 81202 92275 162404 184550 203005 369100 406010 461375 812020 922750 1015025 1845500 2030050 4060100 5075125 10150250 20300500