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20321868 = 223721719107
BaseRepresentation
bin100110110000…
…1011001001100
31102020110100210
41031201121030
520200244433
62003322420
7334506300
oct115413114
942213323
1020321868
1110520136
126980410
134296a98
1429add00
151bb6463
hex136164c

20321868 has 144 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 5128704.

The previous prime is 20321867. The next prime is 20321869. The reversal of 20321868 is 86812302.

It is an interprime number because it is at equal distance from previous prime (20321867) and next prime (20321869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321867) by changing a digit.

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, 189871 + ... + 189977.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 220321868 is an apocalyptic number.

20321868 is a gapful number since it is divisible by the number (28) 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 20321868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

20321868 is an abundant number, since it is smaller than the sum of its proper divisors (41730612).

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

20321868 is a wasteful number, since it uses less digits than its factorization.

20321868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20321868 is about 4507.9782608171. The cubic root of 20321868 is about 272.8901596254.

The spelling of 20321868 in words is "twenty million, three hundred twenty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 49 51 57 68 76 84 98 102 107 114 119 133 147 196 204 214 228 238 266 294 321 323 357 399 428 476 532 588 642 646 714 749 798 833 931 969 1284 1292 1428 1498 1596 1666 1819 1862 1938 2033 2247 2261 2499 2793 2996 3332 3638 3724 3876 4066 4494 4522 4998 5243 5457 5586 6099 6783 7276 8132 8988 9044 9996 10486 10914 11172 12198 12733 13566 14231 15729 15827 20972 21828 24396 25466 27132 28462 31458 31654 34561 38199 42693 47481 50932 56924 62916 63308 69122 76398 85386 89131 94962 99617 103683 138244 152796 170772 178262 189924 199234 207366 241927 267393 298851 356524 398468 414732 483854 534786 597702 725781 967708 1069572 1195404 1451562 1693489 2903124 3386978 5080467 6773956 10160934 20321868