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136426496 = 210172461
BaseRepresentation
bin10000010000110…
…11010000000000
3100111201011222012
420020123100000
5234411121441
621312032052
73244414613
oct1010332000
9314634865
10136426496
1170011278
1239832628
132235894b
141419417a
15be9c9eb
hex821b400

136426496 has 66 divisors (see below), whose sum is σ = 290334198. Its totient is φ = 64061440.

The previous prime is 136426463. The next prime is 136426541. The reversal of 136426496 is 694624631.

136426496 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 43033600 + 93392896 = 6560^2 + 9664^2 .

It is a super-2 number, since 2×1364264962 = 37224377621676032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295706 + ... + 296166.

It is an arithmetic number, because the mean of its divisors is an integer number (4399003).

Almost surely, 2136426496 is an apocalyptic number.

136426496 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 136426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145167099).

136426496 is an abundant number, since it is smaller than the sum of its proper divisors (153907702).

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

136426496 is an equidigital number, since it uses as much as digits as its factorization.

136426496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 480 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 136426496 is about 11680.1753411496. The cubic root of 136426496 is about 514.7933264408.

It can be divided in two parts, 136 and 426496, that multiplied together give a square (58003456 = 76162).

The spelling of 136426496 in words is "one hundred thirty-six million, four hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 461 512 544 578 922 1024 1088 1156 1844 2176 2312 3688 4352 4624 7376 7837 8704 9248 14752 15674 17408 18496 29504 31348 36992 59008 62696 73984 118016 125392 133229 147968 236032 250784 266458 295936 472064 501568 532916 1003136 1065832 2006272 2131664 4012544 4263328 8025088 8526656 17053312 34106624 68213248 136426496