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20332170 = 23251797137
BaseRepresentation
bin100110110001…
…1111010001010
31102020222111100
41031203322022
520201112140
62003442230
7334551315
oct115437212
942228440
1020332170
1110527951
126986376
13429b691
1429b397c
151bb9530
hex1363e8a

20332170 has 96 divisors (see below), whose sum is σ = 56963088. Its totient is φ = 5013504.

The previous prime is 20332159. The next prime is 20332177. The reversal of 20332170 is 7123302.

It can be written as a sum of positive squares in 8 ways, for example, as 12089529 + 8242641 = 3477^2 + 2871^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332177) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 148342 + ... + 148478.

Almost surely, 220332170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28481544).

20332170 is an abundant number, since it is smaller than the sum of its proper divisors (36630918).

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

20332170 is a wasteful number, since it uses less digits than its factorization.

20332170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20332170 is about 4509.1207568660. The cubic root of 20332170 is about 272.9362649588.

Adding to 20332170 its reverse (7123302), we get a palindrome (27455472).

It can be divided in two parts, 20332 and 170, that added together give a palindrome (20502).

The spelling of 20332170 in words is "twenty million, three hundred thirty-two thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 137 153 170 194 255 274 291 306 411 485 510 582 685 765 822 873 970 1233 1370 1455 1530 1649 1746 2055 2329 2466 2910 3298 4110 4365 4658 4947 6165 6987 8245 8730 9894 11645 12330 13289 13974 14841 16490 20961 23290 24735 26578 29682 34935 39867 41922 49470 66445 69870 74205 79734 104805 119601 132890 148410 199335 209610 225913 239202 398670 451826 598005 677739 1129565 1196010 1355478 2033217 2259130 3388695 4066434 6777390 10166085 20332170