Search a number
-
+
20032110 = 234573533
BaseRepresentation
bin100110001101…
…0101001101110
31101200201220000
41030122221232
520112011420
61553205130
7332161440
oct114325156
941621800
1020032110
111034246a
1268607a6
1341c4c27
142936490
151b5a690
hex131aa6e

20032110 has 80 divisors (see below), whose sum is σ = 61576416. Its totient is φ = 4577472.

The previous prime is 20032097. The next prime is 20032141. The reversal of 20032110 is 1123002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20032092 and 20032101.

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 39 ways as a sum of consecutive naturals, for example, 3904 + ... + 7436.

Almost surely, 220032110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30788208).

20032110 is an abundant number, since it is smaller than the sum of its proper divisors (41544306).

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

20032110 is a wasteful number, since it uses less digits than its factorization.

20032110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20032110 is about 4475.7245223539. The cubic root of 20032110 is about 271.5869505697.

Adding to 20032110 its reverse (1123002), we get a palindrome (21155112).

The spelling of 20032110 in words is "twenty million, thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 3533 5670 7066 10599 17665 21198 24731 31797 35330 49462 52995 63594 74193 95391 105990 123655 148386 158985 190782 222579 247310 286173 317970 370965 445158 476955 572346 667737 741930 953910 1112895 1335474 1430865 2003211 2225790 2861730 3338685 4006422 6677370 10016055 20032110