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20322918 = 23271123143
BaseRepresentation
bin100110110000…
…1101001100110
31102020111210200
41031201221212
520200313133
62003331330
7334512330
oct115415146
942214720
1020322918
1110520a00
126980b46
1342973c5
1429b0450
151bb6913
hex1361a66

20322918 has 144 divisors (see below), whose sum is σ = 58426368. Its totient is φ = 4989600.

The previous prime is 20322833. The next prime is 20322919. The reversal of 20322918 is 81922302.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20322891 and 20322900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322919) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472605 + ... + 472647.

Almost surely, 220322918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29213184).

20322918 is an abundant number, since it is smaller than the sum of its proper divisors (38103450).

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

20322918 is a wasteful number, since it uses less digits than its factorization.

20322918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20322918 is about 4508.0947195018. The cubic root of 20322918 is about 272.8948594842.

It can be divided in two parts, 2032 and 2918, that added together give a triangular number (4950 = T99).

The spelling of 20322918 in words is "twenty million, three hundred twenty-two thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 43 62 63 66 77 86 93 99 121 126 129 154 186 198 217 231 242 258 279 301 341 363 387 434 462 473 558 602 651 682 693 726 774 847 903 946 1023 1089 1302 1333 1386 1419 1694 1806 1953 2046 2178 2387 2541 2666 2709 2838 3069 3311 3751 3906 3999 4257 4774 5082 5203 5418 6138 6622 7161 7502 7623 7998 8514 9331 9933 10406 11253 11997 14322 14663 15246 15609 18662 19866 21483 22506 23994 26257 27993 29326 29799 31218 33759 36421 42966 43989 46827 52514 55986 59598 67518 72842 78771 83979 87978 93654 102641 109263 131967 157542 161293 167958 205282 218526 236313 263934 307923 322586 327789 472626 483879 615846 655578 923769 967758 1129051 1451637 1847538 2258102 2903274 3387153 6774306 10161459 20322918