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20170020 = 223513191361
BaseRepresentation
bin100110011110…
…0010100100100
31101221202001210
41030330110210
520130420040
62000151420
7333304503
oct114742444
941852053
1020170020
1110427042
126908570
134242930
14297083a
151b86480
hex133c524

20170020 has 96 divisors (see below), whose sum is σ = 64068480. Its totient is φ = 4700160.

The previous prime is 20170019. The next prime is 20170021. The reversal of 20170020 is 2007102.

It is an interprime number because it is at equal distance from previous prime (20170019) and next prime (20170021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20169978 and 20170005.

It is not an unprimeable number, because it can be changed into a prime (20170021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14140 + ... + 15500.

It is an arithmetic number, because the mean of its divisors is an integer number (667380).

Almost surely, 220170020 is an apocalyptic number.

20170020 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 20170020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32034240).

20170020 is an abundant number, since it is smaller than the sum of its proper divisors (43898460).

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

20170020 is a wasteful number, since it uses less digits than its factorization.

20170020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 20170020 is about 4491.1045412014. The cubic root of 20170020 is about 272.2087677803.

Adding to 20170020 its reverse (2007102), we get a palindrome (22177122).

The spelling of 20170020 in words is "twenty million, one hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1361 1482 2470 2722 2964 3705 4083 4940 5444 6805 7410 8166 13610 14820 16332 17693 20415 25859 27220 35386 40830 51718 53079 70772 77577 81660 88465 103436 106158 129295 155154 176930 212316 258590 265395 310308 336167 353860 387885 517180 530790 672334 775770 1008501 1061580 1344668 1551540 1680835 2017002 3361670 4034004 5042505 6723340 10085010 20170020