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20442330 = 23251731431
BaseRepresentation
bin100110111111…
…0110011011010
31102110120121100
41031332303122
520213123310
62010052230
7335520426
oct115766332
942416540
1020442330
11105a2697
126a1a076
13430986c
142a01b86
151bdbec0
hex137ecda

20442330 has 96 divisors (see below), whose sum is σ = 58226688. Its totient is φ = 4953600.

The previous prime is 20442293. The next prime is 20442349. The reversal of 20442330 is 3324402.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47215 + ... + 47645.

It is an arithmetic number, because the mean of its divisors is an integer number (606528).

Almost surely, 220442330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29113344).

20442330 is an abundant number, since it is smaller than the sum of its proper divisors (37784358).

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

20442330 is a wasteful number, since it uses less digits than its factorization.

20442330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20442330 is about 4521.3194976688. The cubic root of 20442330 is about 273.4283016552.

Adding to 20442330 its reverse (3324402), we get a palindrome (23766732).

The spelling of 20442330 in words is "twenty million, four hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 431 465 510 527 558 765 862 930 1054 1293 1395 1530 1581 2155 2586 2635 2790 3162 3879 4310 4743 5270 6465 7327 7758 7905 9486 12930 13361 14654 15810 19395 21981 23715 26722 36635 38790 40083 43962 47430 65943 66805 73270 80166 109905 120249 131886 133610 200415 219810 227137 240498 329715 400830 454274 601245 659430 681411 1135685 1202490 1362822 2044233 2271370 3407055 4088466 6814110 10221165 20442330