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20214360 = 2334517367
BaseRepresentation
bin100110100011…
…1001001011000
31102000222220000
41031013021120
520133324420
62001133000
7333550665
oct115071130
942028800
1020214360
1110457391
12692a160
134259b7a
142982a6c
151b94690
hex1347258

20214360 has 160 divisors (see below), whose sum is σ = 72135360. Its totient is φ = 5059584.

The previous prime is 20214329. The next prime is 20214373. The reversal of 20214360 is 6341202.

20214360 = T9 + T10 + ... + T494.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 54897 + ... + 55263.

It is an arithmetic number, because the mean of its divisors is an integer number (450846).

Almost surely, 220214360 is an apocalyptic number.

20214360 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 20214360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36067680).

20214360 is an abundant number, since it is smaller than the sum of its proper divisors (51921000).

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

20214360 is a wasteful number, since it uses less digits than its factorization.

20214360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20214360 is about 4496.0382560650. The cubic root of 20214360 is about 272.4080884089.

Adding to 20214360 its reverse (6341202), we get a palindrome (26555562).

The spelling of 20214360 in words is "twenty million, two hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 367 405 408 459 510 540 612 648 680 734 765 810 918 1020 1080 1101 1224 1377 1468 1530 1620 1835 1836 2040 2202 2295 2754 2936 3060 3240 3303 3670 3672 4404 4590 5505 5508 6120 6239 6606 6885 7340 8808 9180 9909 11010 11016 12478 13212 13770 14680 16515 18360 18717 19818 22020 24956 26424 27540 29727 31195 33030 37434 39636 44040 49545 49912 55080 56151 59454 62390 66060 74868 79272 93585 99090 112302 118908 124780 132120 148635 149736 168453 187170 198180 224604 237816 249560 280755 297270 336906 374340 396360 449208 505359 561510 594540 673812 748680 842265 1010718 1123020 1189080 1347624 1684530 2021436 2246040 2526795 3369060 4042872 5053590 6738120 10107180 20214360