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20730300 = 22352431607
BaseRepresentation
bin100111100010…
…1000110111100
31110000012121220
41033011012330
520301332200
62020153340
7341130123
oct117050674
943005556
1020730300
1110779a88
126b38850
1343aa966
142a78aba
151c474a0
hex13c51bc

20730300 has 72 divisors (see below), whose sum is σ = 61412736. Its totient is φ = 5396160.

The previous prime is 20730277. The next prime is 20730313. The reversal of 20730300 is 303702.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20730300.

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 23 ways as a sum of consecutive naturals, for example, 12097 + ... + 13703.

Almost surely, 220730300 is an apocalyptic number.

20730300 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 20730300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30706368).

20730300 is an abundant number, since it is smaller than the sum of its proper divisors (40682436).

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

20730300 is a wasteful number, since it uses less digits than its factorization.

20730300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 20730300 is about 4553.0539201727. The cubic root of 20730300 is about 274.7062427918.

The spelling of 20730300 in words is "twenty million, seven hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 1607 2150 2580 3214 3225 4300 4821 6428 6450 8035 9642 12900 16070 19284 24105 32140 40175 48210 69101 80350 96420 120525 138202 160700 207303 241050 276404 345505 414606 482100 691010 829212 1036515 1382020 1727525 2073030 3455050 4146060 5182575 6910100 10365150 20730300