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209720 = 23572107
BaseRepresentation
bin110011001100111000
3101122200102
4303030320
523202340
64254532
71532300
oct631470
9348612
10209720
11133625
12a1448
13745c4
1456600
1542215
hex33338

209720 has 48 divisors (see below), whose sum is σ = 554040. Its totient is φ = 71232.

The previous prime is 209719. The next prime is 209743. The reversal of 209720 is 27902.

209720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 209692 and 209701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1907 + ... + 2013.

2209720 is an apocalyptic number.

209720 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 209720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277020).

209720 is an abundant number, since it is smaller than the sum of its proper divisors (344320).

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

209720 is a wasteful number, since it uses less digits than its factorization.

209720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 209720 is about 457.9519625463. The cubic root of 209720 is about 59.4127903469.

It can be divided in two parts, 209 and 720, that added together give a palindrome (929).

The spelling of 209720 in words is "two hundred nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 107 140 196 214 245 280 392 428 490 535 749 856 980 1070 1498 1960 2140 2996 3745 4280 5243 5992 7490 10486 14980 20972 26215 29960 41944 52430 104860 209720