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26671104 = 211321447
BaseRepresentation
bin110010110111…
…1100000000000
31212012000212200
41211233200000
523311433404
62351353200
7442462215
oct145574000
955160780
1026671104
1114067439
128b22800
1356aaa25
143783b0c
15251c839
hex196f800

26671104 has 72 divisors (see below), whose sum is σ = 77084280. Its totient is φ = 8884224.

The previous prime is 26671103. The next prime is 26671109. The reversal of 26671104 is 40117662.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×266711042 = 1422695577157632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26671103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17709 + ... + 19155.

It is an arithmetic number, because the mean of its divisors is an integer number (1070615).

Almost surely, 226671104 is an apocalyptic number.

26671104 is a gapful number since it is divisible by the number (24) 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 26671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38542140).

26671104 is an abundant number, since it is smaller than the sum of its proper divisors (50413176).

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

26671104 is a wasteful number, since it uses less digits than its factorization.

26671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 26671104 is about 5164.4074200241. The cubic root of 26671104 is about 298.7768867570.

Adding to 26671104 its reverse (40117662), we get a palindrome (66788766).

The spelling of 26671104 in words is "twenty-six million, six hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1447 1536 2048 2304 2894 3072 4341 4608 5788 6144 8682 9216 11576 13023 17364 18432 23152 26046 34728 46304 52092 69456 92608 104184 138912 185216 208368 277824 370432 416736 555648 740864 833472 1111296 1481728 1666944 2222592 2963456 3333888 4445184 6667776 8890368 13335552 26671104