Search a number
-
+
20180700 = 223252171319
BaseRepresentation
bin100110011111…
…0111011011100
31101222021201100
41030332323130
520131240300
62000313100
7333350601
oct114767334
941867640
1020180700
1110434071
126912790
134247757
1429746a8
151b89700
hex133eedc

20180700 has 108 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 5061120.

The previous prime is 20180627. The next prime is 20180707. The reversal of 20180700 is 708102.

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 (20180707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14641 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (620620).

Almost surely, 220180700 is an apocalyptic number.

20180700 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 20180700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

20180700 is an abundant number, since it is smaller than the sum of its proper divisors (46846260).

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

20180700 is a wasteful number, since it uses less digits than its factorization.

20180700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 20180700 is about 4492.2934009256. The cubic root of 20180700 is about 272.2568040353.

Adding to 20180700 its reverse (708102), we get a palindrome (20888802).

The spelling of 20180700 in words is "twenty million, one hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1319 1530 1700 2550 2638 3060 3825 3957 5100 5276 6595 7650 7914 11871 13190 15300 15828 19785 22423 23742 26380 32975 39570 44846 47484 59355 65950 67269 79140 89692 98925 112115 118710 131900 134538 197850 201807 224230 237420 269076 296775 336345 395700 403614 448460 560575 593550 672690 807228 1009035 1121150 1187100 1345380 1681725 2018070 2242300 3363450 4036140 5045175 6726900 10090350 20180700