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136055424 = 2731392549
BaseRepresentation
bin10000001110000…
…00101010000000
3100111000022221210
420013000222000
5234312233144
621300050120
73241311021
oct1007005200
9314008853
10136055424
116a8884aa
1239693940
1322258a8b
14140d8c48
15be27ab9
hex81c0a80

136055424 has 64 divisors (see below), whose sum is σ = 364140000. Its totient is φ = 45007872.

The previous prime is 136055417. The next prime is 136055441. The reversal of 136055424 is 424550631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1360554242 = 37022156799639552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136055391 and 136055400.

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 7 ways as a sum of consecutive naturals, for example, 52102 + ... + 54650.

Almost surely, 2136055424 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 136055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182070000).

136055424 is an abundant number, since it is smaller than the sum of its proper divisors (228084576).

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

136055424 is a wasteful number, since it uses less digits than its factorization.

136055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 136055424 is about 11664.2798320342. The cubic root of 136055424 is about 514.3261668356.

The spelling of 136055424 in words is "one hundred thirty-six million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 2549 3336 4448 5098 6672 7647 8896 10196 13344 15294 17792 20392 26688 30588 40784 53376 61176 81568 122352 163136 244704 326272 354311 489408 708622 978816 1062933 1417244 2125866 2834488 4251732 5668976 8503464 11337952 17006928 22675904 34013856 45351808 68027712 136055424