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136768944 = 243131712893
BaseRepresentation
bin10000010011011…
…10110110110000
3100112100120201110
420021232312300
5240003101234
621323233320
73250342164
oct1011566660
9315316643
10136768944
1170225594
1239978840
1322448790
1414242ca4
15c0191e9
hex826edb0

136768944 has 80 divisors (see below), whose sum is σ = 402911712. Its totient is φ = 39604224.

The previous prime is 136768943. The next prime is 136768963. The reversal of 136768944 is 449867631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 136768893 and 136768902.

It is not an unprimeable number, because it can be changed into a prime (136768943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4162 + ... + 17054.

Almost surely, 2136768944 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 136768944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201455856).

136768944 is an abundant number, since it is smaller than the sum of its proper divisors (266142768).

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

136768944 is a wasteful number, since it uses less digits than its factorization.

136768944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12934 (or 12928 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 136768944 is about 11694.8255224266. The cubic root of 136768944 is about 515.2236989664.

The spelling of 136768944 in words is "one hundred thirty-six million, seven hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 12893 25786 38679 51572 77358 103144 154716 167609 206288 219181 309432 335218 438362 502827 618864 657543 670436 876724 1005654 1315086 1340872 1753448 2011308 2630172 2681744 2849353 3506896 4022616 5260344 5698706 8045232 8548059 10520688 11397412 17096118 22794824 34192236 45589648 68384472 136768944