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136623033 = 3217937953
BaseRepresentation
bin10000010010010…
…11001110111001
3100112002011120100
420021023032321
5234433414113
621320150013
73246163611
oct1011131671
9315064510
10136623033
11701359a8
1239908309
13223c7241
1414205a41
15bedad73
hex824b3b9

136623033 has 24 divisors (see below), whose sum is σ = 209395368. Its totient is φ = 85542912.

The previous prime is 136623023. The next prime is 136623037. The reversal of 136623033 is 330326631.

136623033 is a `hidden beast` number, since 1 + 3 + 6 + 623 + 0 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 130028409 = 2568^2 + 11403^2 .

It is not a de Polignac number, because 136623033 - 25 = 136623001 is a prime.

It is a super-2 number, since 2×1366230332 = 37331706292238178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136622988 and 136623006.

It is not an unprimeable number, because it can be changed into a prime (136623037) 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 23 ways as a sum of consecutive naturals, for example, 142885 + ... + 143837.

It is an arithmetic number, because the mean of its divisors is an integer number (8724807).

Almost surely, 2136623033 is an apocalyptic number.

It is an amenable number.

136623033 is a deficient number, since it is larger than the sum of its proper divisors (72772335).

136623033 is a wasteful number, since it uses less digits than its factorization.

136623033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 136623033 is about 11688.5855859467. The cubic root of 136623033 is about 515.0404128277.

Adding to 136623033 its reverse (330326631), we get a palindrome (466949664).

The spelling of 136623033 in words is "one hundred thirty-six million, six hundred twenty-three thousand, thirty-three".

Divisors: 1 3 9 17 51 153 937 953 2811 2859 8433 8577 15929 16201 47787 48603 143361 145809 892961 2678883 8036649 15180337 45541011 136623033