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20710000 = 245419109
BaseRepresentation
bin100111100000…
…0001001110000
31102222011210001
41033000021300
520300210000
62015515344
7341014003
oct117001160
942864701
1020710000
1110765803
126b28b54
1343a164c
142a7153a
151c4146a
hex13c0270

20710000 has 100 divisors (see below), whose sum is σ = 53264200. Its totient is φ = 7776000.

The previous prime is 20709991. The next prime is 20710007. The reversal of 20710000 is 1702.

It is a tau number, because it is divible by the number of its divisors (100).

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 (20710007) 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, 189946 + ... + 190054.

It is an arithmetic number, because the mean of its divisors is an integer number (532642).

Almost surely, 220710000 is an apocalyptic number.

20710000 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 20710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26632100).

20710000 is an abundant number, since it is smaller than the sum of its proper divisors (32554200).

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

20710000 is a wasteful number, since it uses less digits than its factorization.

20710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 20710000 is about 4550.8241011931. The cubic root of 20710000 is about 274.6165454569.

Adding to 20710000 its reverse (1702), we get a palindrome (20711702).

The spelling of 20710000 in words is "twenty million, seven hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 109 125 152 190 200 218 250 304 380 400 436 475 500 545 625 760 872 950 1000 1090 1250 1520 1744 1900 2000 2071 2180 2375 2500 2725 3800 4142 4360 4750 5000 5450 7600 8284 8720 9500 10000 10355 10900 11875 13625 16568 19000 20710 21800 23750 27250 33136 38000 41420 43600 47500 51775 54500 68125 82840 95000 103550 109000 136250 165680 190000 207100 218000 258875 272500 414200 517750 545000 828400 1035500 1090000 1294375 2071000 2588750 4142000 5177500 10355000 20710000