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202020 = 223571337
BaseRepresentation
bin110001010100100100
3101021010020
4301110210
522431040
64155140
71500660
oct612444
9337106
10202020
11128865
1298ab0
1370c50
14538a0
153ecd0
hex31524

202020 has 96 divisors (see below), whose sum is σ = 715008. Its totient is φ = 41472.

The previous prime is 202001. The next prime is 202021. The reversal of 202020 is 20202.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

202020 is an undulating number in base 10.

202020 is a modest number, since divided by 2020 gives 20 as remainder.

It is not an unprimeable number, because it can be changed into a prime (202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5442 + ... + 5478.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2202020 is an apocalyptic number.

202020 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 202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504).

202020 is an abundant number, since it is smaller than the sum of its proper divisors (512988).

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

202020 is a wasteful number, since it uses less digits than its factorization.

202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 202020 is about 449.4663502422. The cubic root of 202020 is about 58.6765794774.

Adding to 202020 its reverse (20202), we get a palindrome (222222).

The spelling of 202020 in words is "two hundred two thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 37 39 42 52 60 65 70 74 78 84 91 105 111 130 140 148 156 182 185 195 210 222 259 260 273 364 370 390 420 444 455 481 518 546 555 740 777 780 910 962 1036 1092 1110 1295 1365 1443 1554 1820 1924 2220 2405 2590 2730 2886 3108 3367 3885 4810 5180 5460 5772 6734 7215 7770 9620 10101 13468 14430 15540 16835 20202 28860 33670 40404 50505 67340 101010 202020