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20306364 = 223132171931
BaseRepresentation
bin100110101110…
…1100110111100
31102012200002120
41031131212330
520144300424
62003122540
7334413141
oct115354674
942180076
1020306364
111050a521
126973450
13428ca00
1429a83c8
151bb1a79
hex135d9bc

20306364 has 144 divisors (see below), whose sum is σ = 59028480. Its totient is φ = 5391360.

The previous prime is 20306359. The next prime is 20306369. The reversal of 20306364 is 46360302.

It is an interprime number because it is at equal distance from previous prime (20306359) and next prime (20306369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20306369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655029 + ... + 655059.

It is an arithmetic number, because the mean of its divisors is an integer number (409920).

Almost surely, 220306364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20306364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29514240).

20306364 is an abundant number, since it is smaller than the sum of its proper divisors (38722116).

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

20306364 is a wasteful number, since it uses less digits than its factorization.

20306364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 20306364 is about 4506.2583148328. The cubic root of 20306364 is about 272.8207440015.

Adding to 20306364 its reverse (46360302), we get a palindrome (66666666).

The spelling of 20306364 in words is "twenty million, three hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 19 26 31 34 38 39 51 52 57 62 68 76 78 93 102 114 124 156 169 186 204 221 228 247 323 338 372 403 442 494 507 527 589 646 663 676 741 806 884 969 988 1014 1054 1178 1209 1292 1326 1482 1581 1612 1767 1938 2028 2108 2356 2418 2652 2873 2964 3162 3211 3534 3876 4199 4836 5239 5746 6324 6422 6851 7068 7657 8398 8619 9633 10013 10478 11492 12597 12844 13702 15314 15717 16796 17238 19266 20026 20553 20956 22971 25194 27404 30039 30628 31434 34476 38532 40052 41106 45942 50388 54587 60078 62868 82212 89063 91884 99541 109174 120156 130169 163761 178126 199082 218348 260338 267189 298623 327522 356252 390507 398164 520676 534378 597246 655044 781014 1068756 1194492 1562028 1692197 3384394 5076591 6768788 10153182 20306364