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8109816 = 233111317139
BaseRepresentation
bin11110111011111011111000
3120021000120120
4132323323320
54034003231
6445453240
7125634531
oct36737370
916230516
108109816
11463a030
122871220
1318ac410
141111688
15aa2d96
hex7bbef8

8109816 has 128 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2119680.

The previous prime is 8109797. The next prime is 8109853. The reversal of 8109816 is 6189018.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58275 + ... + 58413.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 28109816 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 8109816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

8109816 is an abundant number, since it is smaller than the sum of its proper divisors (17291784).

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

8109816 is a wasteful number, since it uses less digits than its factorization.

8109816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 8109816 is about 2847.7738674270. The cubic root of 8109816 is about 200.9109776321.

The spelling of 8109816 in words is "eight million, one hundred nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 139 143 156 187 204 221 264 278 286 312 374 408 417 429 442 556 561 572 663 748 834 858 884 1112 1122 1144 1326 1496 1529 1668 1716 1768 1807 2244 2363 2431 2652 3058 3336 3432 3614 4488 4587 4726 4862 5304 5421 6116 7089 7228 7293 9174 9452 9724 10842 12232 14178 14456 14586 18348 18904 19448 19877 21684 25993 28356 29172 30719 36696 39754 43368 51986 56712 58344 59631 61438 77979 79508 92157 103972 119262 122876 155958 159016 184314 207944 238524 245752 311916 337909 368628 477048 623832 675818 737256 1013727 1351636 2027454 2703272 4054908 8109816