Search a number
-
+
20832210 = 2325743769
BaseRepresentation
bin100111101110…
…1111111010010
31110012101102100
41033131333102
520313112320
62022301230
7342033210
oct117357722
943171370
1020832210
1110839603
126b87816
134415169
142aa3cb0
151c67790
hex13ddfd2

20832210 has 96 divisors (see below), whose sum is σ = 63423360. Its totient is φ = 4644864.

The previous prime is 20832209. The next prime is 20832239. The reversal of 20832210 is 1223802.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26706 + ... + 27474.

It is an arithmetic number, because the mean of its divisors is an integer number (660660).

Almost surely, 220832210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20832210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711680).

20832210 is an abundant number, since it is smaller than the sum of its proper divisors (42591150).

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

20832210 is a wasteful number, since it uses less digits than its factorization.

20832210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20832210 is about 4564.2315892163. The cubic root of 20832210 is about 275.1556584324.

The spelling of 20832210 in words is "twenty million, eight hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 387 430 602 630 645 769 774 903 1290 1505 1538 1806 1935 2307 2709 3010 3845 3870 4515 4614 5383 5418 6921 7690 9030 10766 11535 13545 13842 16149 23070 26915 27090 32298 33067 34605 48447 53830 66134 69210 80745 96894 99201 161490 165335 198402 231469 242235 297603 330670 462938 484470 496005 595206 694407 992010 1157345 1388814 1488015 2083221 2314690 2976030 3472035 4166442 6944070 10416105 20832210