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136486116 = 223213594943
BaseRepresentation
bin10000010001010…
…01110011100100
3100111211012202100
420020221303210
5234420023431
621313212100
73245053464
oct1010516344
9314735670
10136486116
1170052048
1239861030
1322379b20
14141abba4
15beb04e6
hex8229ce4

136486116 has 72 divisors (see below), whose sum is σ = 377919360. Its totient is φ = 41275584.

The previous prime is 136486109. The next prime is 136486159. The reversal of 136486116 is 611684631.

136486116 is a `hidden beast` number, since 1 + 3 + 648 + 6 + 1 + 1 + 6 = 666.

It is a super-3 number, since 3×1364861163 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25141 + ... + 30083.

It is an arithmetic number, because the mean of its divisors is an integer number (5248880).

Almost surely, 2136486116 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 136486116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188959680).

136486116 is an abundant number, since it is smaller than the sum of its proper divisors (241433244).

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

136486116 is a wasteful number, since it uses less digits than its factorization.

136486116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5020 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 136486116 is about 11682.7272500902. The cubic root of 136486116 is about 514.8683057866.

The spelling of 136486116 in words is "one hundred thirty-six million, four hundred eighty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 4602 4943 6903 9204 9886 13806 14829 19772 27612 29658 44487 59316 64259 88974 128518 177948 192777 257036 291637 385554 578331 583274 771108 874911 1156662 1166548 1749822 2313324 2624733 3499644 3791281 5249466 7582562 10498932 11373843 15165124 22747686 34121529 45495372 68243058 136486116