Search a number
-
+
20460330 = 233511832
BaseRepresentation
bin100111000001…
…1001100101010
31102111111022000
41032003030222
520214212310
62010311430
7335624052
oct116031452
942444260
1020460330
1110605170
126a28576
134314b07
142a08562
151be24c0
hex138332a

20460330 has 96 divisors (see below), whose sum is σ = 60246720. Its totient is φ = 4900320.

The previous prime is 20460313. The next prime is 20460343. The reversal of 20460330 is 3306402.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246469 + ... + 246551.

It is an arithmetic number, because the mean of its divisors is an integer number (627570).

Almost surely, 220460330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20460330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30123360).

20460330 is an abundant number, since it is smaller than the sum of its proper divisors (39786390).

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

20460330 is a wasteful number, since it uses less digits than its factorization.

20460330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20460330 is about 4523.3096290217. The cubic root of 20460330 is about 273.5085316742.

Adding to 20460330 its reverse (3306402), we get a palindrome (23766732).

The spelling of 20460330 in words is "twenty million, four hundred sixty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 83 90 99 110 135 165 166 198 249 270 297 330 415 495 498 594 747 830 913 990 1245 1485 1494 1826 2241 2490 2739 2970 3735 4482 4565 5478 6889 7470 8217 9130 11205 13695 13778 16434 20667 22410 24651 27390 34445 41085 41334 49302 62001 68890 75779 82170 103335 123255 124002 151558 186003 206670 227337 246510 310005 372006 378895 454674 620010 682011 757790 930015 1136685 1364022 1860030 2046033 2273370 3410055 4092066 6820110 10230165 20460330