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136106256 = 243111379251
BaseRepresentation
bin10000001110011…
…01000100010000
3100111002220200110
420013031010100
5234320400011
621301121320
73241612146
oct1007150420
9314086613
10136106256
116a912710
12396b9240
1322275c60
141410d596
15be37ba6
hex81cd110

136106256 has 160 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 37440000.

The previous prime is 136106221. The next prime is 136106293. The reversal of 136106256 is 652601631.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542131 + ... + 542381.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2136106256 is an apocalyptic number.

136106256 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 136106256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

136106256 is an abundant number, since it is smaller than the sum of its proper divisors (283866864).

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

136106256 is a wasteful number, since it uses less digits than its factorization.

136106256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 136106256 is about 11666.4585886206. The cubic root of 136106256 is about 514.3902117464.

Adding to 136106256 its reverse (652601631), we get a palindrome (788707887).

The spelling of 136106256 in words is "one hundred thirty-six million, one hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 79 88 104 132 143 156 158 176 208 237 251 264 286 312 316 429 474 502 528 572 624 632 753 858 869 948 1004 1027 1144 1264 1506 1716 1738 1896 2008 2054 2288 2607 2761 3012 3081 3263 3432 3476 3792 4016 4108 5214 5522 6024 6162 6526 6864 6952 8216 8283 9789 10428 11044 11297 12048 12324 13052 13904 16432 16566 19578 19829 20856 22088 22594 24648 26104 33132 33891 35893 39156 39658 41712 44176 45188 49296 52208 59487 66264 67782 71786 78312 79316 90376 107679 118974 132528 135564 143572 156624 158632 180752 215358 218119 237948 257777 271128 287144 317264 430716 436238 475896 515554 542256 574288 654357 773331 861432 872476 951792 1031108 1308714 1546662 1722864 1744952 2062216 2617428 2835547 3093324 3489904 4124432 5234856 5671094 6186648 8506641 10469712 11342188 12373296 17013282 22684376 34026564 45368752 68053128 136106256