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18871104 = 263719739
BaseRepresentation
bin100011111111…
…1001101000000
31022111202021210
41013333031000
514312333404
61512250120
7316254540
oct107771500
938452253
1018871104
11a71a15a
1263a0940
133ba9645
142713320
1519cb689
hex11ff340

18871104 has 112 divisors (see below), whose sum is σ = 60147200. Its totient is φ = 5101056.

The previous prime is 18871103. The next prime is 18871121. The reversal of 18871104 is 40117881.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×188711042 = 712237132357632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18871103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25167 + ... + 25905.

Almost surely, 218871104 is an apocalyptic number.

18871104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073600).

18871104 is an abundant number, since it is smaller than the sum of its proper divisors (41276096).

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

18871104 is a wasteful number, since it uses less digits than its factorization.

18871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 18871104 is about 4344.0883968907. The cubic root of 18871104 is about 266.2353806251.

Adding to 18871104 its reverse (40117881), we get a palindrome (58988985).

The spelling of 18871104 in words is "eighteen million, eight hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 739 798 912 1064 1216 1344 1478 1596 1824 2128 2217 2956 3192 3648 4256 4434 5173 5912 6384 8512 8868 10346 11824 12768 14041 15519 17736 20692 23648 25536 28082 31038 35472 41384 42123 47296 56164 62076 70944 82768 84246 98287 112328 124152 141888 165536 168492 196574 224656 248304 294861 331072 336984 393148 449312 496608 589722 673968 786296 898624 993216 1179444 1347936 1572592 2358888 2695872 3145184 4717776 6290368 9435552 18871104