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18904116 = 22371141499
BaseRepresentation
bin100100000011…
…1010000110100
31022120102120110
41020013100310
514314412431
61513103020
7316453020
oct110072064
938512513
1018904116
11a741a40
1263b7a70
133bbb68a
142721380
1519d6346
hex1207434

18904116 has 96 divisors (see below), whose sum is σ = 56448000. Its totient is φ = 4780800.

The previous prime is 18904111. The next prime is 18904159. The reversal of 18904116 is 61140981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18904111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37635 + ... + 38133.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 218904116 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 18904116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

18904116 is an abundant number, since it is smaller than the sum of its proper divisors (37543884).

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

18904116 is a wasteful number, since it uses less digits than its factorization.

18904116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 18904116 is about 4347.8863830602. The cubic root of 18904116 is about 266.3905356953.

It can be divided in two parts, 1890 and 4116, that added together give a palindrome (6006).

The spelling of 18904116 in words is "eighteen million, nine hundred four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 123 132 154 164 231 246 287 308 451 462 492 499 574 861 902 924 998 1148 1353 1497 1722 1804 1996 2706 2994 3157 3444 3493 5412 5489 5988 6314 6986 9471 10479 10978 12628 13972 16467 18942 20459 20958 21956 32934 37884 38423 40918 41916 61377 65868 76846 81836 115269 122754 143213 153692 225049 230538 245508 286426 429639 450098 461076 572852 675147 859278 900196 1350294 1575343 1718556 2700588 3150686 4726029 6301372 9452058 18904116