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26704128 = 2831129109
BaseRepresentation
bin110010111011…
…1100100000000
31212020201011210
41211313210000
523314013003
62352210120
7442660413
oct145674400
955221153
1026704128
111408a230
128b39940
1356bca79
143791b7a
152527503
hex1977900

26704128 has 144 divisors (see below), whose sum is σ = 80942400. Its totient is φ = 7741440.

The previous prime is 26704109. The next prime is 26704129. The reversal of 26704128 is 82140762.

It is a super-2 number, since 2×267041282 = 1426220904480768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26704095 and 26704104.

It is not an unprimeable number, because it can be changed into a prime (26704129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244938 + ... + 245046.

It is an arithmetic number, because the mean of its divisors is an integer number (562100).

Almost surely, 226704128 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 26704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40471200).

26704128 is an abundant number, since it is smaller than the sum of its proper divisors (54238272).

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

26704128 is a wasteful number, since it uses less digits than its factorization.

26704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 26704128 is about 5167.6036999755. The cubic root of 26704128 is about 298.9001504755.

The spelling of 26704128 in words is "twenty-six million, seven hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 109 116 128 132 174 176 192 218 232 256 264 319 327 348 352 384 436 464 528 638 654 696 704 768 872 928 957 1056 1199 1276 1308 1392 1408 1744 1856 1914 2112 2398 2552 2616 2784 2816 3161 3488 3597 3712 3828 4224 4796 5104 5232 5568 6322 6976 7194 7424 7656 8448 9483 9592 10208 10464 11136 12644 13952 14388 15312 18966 19184 20416 20928 22272 25288 27904 28776 30624 34771 37932 38368 40832 41856 50576 57552 61248 69542 75864 76736 81664 83712 101152 104313 115104 122496 139084 151728 153472 202304 208626 230208 244992 278168 303456 306944 404608 417252 460416 556336 606912 809216 834504 920832 1112672 1213824 1669008 2225344 2427648 3338016 4450688 6676032 8901376 13352064 26704128