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13136256 = 27347181
BaseRepresentation
bin110010000111…
…000110000000
3220201101120000
4302013012000
511330330011
61145320000
7216441060
oct62070600
926641500
1013136256
117462511
124496000
13294c243
141a5d3a0
151247356
hexc87180

13136256 has 160 divisors (see below), whose sum is σ = 44924880. Its totient is φ = 3732480.

The previous prime is 13136251. The next prime is 13136267. The reversal of 13136256 is 65263131.

13136256 is a `hidden beast` number, since 1 + 31 + 3 + 625 + 6 = 666.

It is a super-2 number, since 2×131362562 = 345122443395072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72486 + ... + 72666.

Almost surely, 213136256 is an apocalyptic number.

13136256 is a gapful number since it is divisible by the number (16) 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 13136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462440).

13136256 is an abundant number, since it is smaller than the sum of its proper divisors (31788624).

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

13136256 is an equidigital number, since it uses as much as digits as its factorization.

13136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13136256 is about 3624.3973292121. The cubic root of 13136256 is about 235.9521113212.

Adding to 13136256 its reverse (65263131), we get a palindrome (78399387).

It can be divided in two parts, 1313 and 6256, that multiplied together give a palindrome (8214128).

The spelling of 13136256 in words is "thirteen million, one hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 181 189 192 216 224 252 288 324 336 362 378 384 432 448 504 543 567 576 648 672 724 756 864 896 1008 1086 1134 1152 1267 1296 1344 1448 1512 1629 1728 2016 2172 2268 2534 2592 2688 2896 3024 3258 3456 3801 4032 4344 4536 4887 5068 5184 5792 6048 6516 7602 8064 8688 9072 9774 10136 10368 11403 11584 12096 13032 14661 15204 17376 18144 19548 20272 22806 23168 24192 26064 29322 30408 34209 34752 36288 39096 40544 45612 52128 58644 60816 68418 69504 72576 78192 81088 91224 102627 104256 117288 121632 136836 156384 162176 182448 205254 208512 234576 243264 273672 312768 364896 410508 469152 486528 547344 625536 729792 821016 938304 1094688 1459584 1642032 1876608 2189376 3284064 4378752 6568128 13136256