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20173020 = 22357431117
BaseRepresentation
bin100110011110…
…1000011011100
31101221220011220
41030331003130
520131014040
62000213340
7333316320
oct114750334
941856156
1020173020
111042931a
12690a250
1342440ca
142971980
151b872d0
hex133d0dc

20173020 has 96 divisors (see below), whose sum is σ = 66114048. Its totient is φ = 4499712.

The previous prime is 20172989. The next prime is 20173051. The reversal of 20173020 is 2037102.

It is an interprime number because it is at equal distance from previous prime (20172989) and next prime (20173051).

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

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 31 ways as a sum of consecutive naturals, for example, 17502 + ... + 18618.

It is an arithmetic number, because the mean of its divisors is an integer number (688688).

Almost surely, 220173020 is an apocalyptic number.

20173020 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 20173020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33057024).

20173020 is an abundant number, since it is smaller than the sum of its proper divisors (45941028).

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

20173020 is a wasteful number, since it uses less digits than its factorization.

20173020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 20173020 is about 4491.4385223445. The cubic root of 20173020 is about 272.2222628226. Note that the first 4 decimals are identical.

The spelling of 20173020 in words is "twenty million, one hundred seventy-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1117 1204 1290 1505 1806 2234 2580 3010 3351 3612 4468 4515 5585 6020 6702 7819 9030 11170 13404 15638 16755 18060 22340 23457 31276 33510 39095 46914 48031 67020 78190 93828 96062 117285 144093 156380 192124 234570 240155 288186 336217 469140 480310 576372 672434 720465 960620 1008651 1344868 1440930 1681085 2017302 2881860 3362170 4034604 5043255 6724340 10086510 20173020