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16405116 = 22371383181
BaseRepresentation
bin111110100101…
…001001111100
31010212110120220
4332211021330
513144430431
61343341340
7256304220
oct76451174
933773526
1016405116
119295452
1255b1850
133525090
142270780
151690b96
hexfa527c

16405116 has 96 divisors (see below), whose sum is σ = 47943168. Its totient is φ = 4250880.

The previous prime is 16405099. The next prime is 16405121. The reversal of 16405116 is 61150461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90546 + ... + 90726.

It is an arithmetic number, because the mean of its divisors is an integer number (499408).

Almost surely, 216405116 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 16405116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23971584).

16405116 is an abundant number, since it is smaller than the sum of its proper divisors (31538052).

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

16405116 is a wasteful number, since it uses less digits than its factorization.

16405116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 16405116 is about 4050.3229500868. The cubic root of 16405116 is about 254.0932346258.

Adding to 16405116 its reverse (61150461), we get a palindrome (77555577).

The spelling of 16405116 in words is "sixteen million, four hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 83 84 91 156 166 181 182 249 273 332 362 364 498 543 546 581 724 996 1079 1086 1092 1162 1267 1743 2158 2172 2324 2353 2534 3237 3486 3801 4316 4706 5068 6474 6972 7059 7553 7602 9412 12948 14118 15023 15106 15204 16471 22659 28236 30046 30212 32942 45069 45318 49413 60092 65884 90138 90636 98826 105161 180276 195299 197652 210322 315483 390598 420644 585897 630966 781196 1171794 1261932 1367093 2343588 2734186 4101279 5468372 8202558 16405116