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136404306 = 232192317341
BaseRepresentation
bin10000010000101…
…01110101010010
3100111200001112100
420020111311102
5234404414211
621311341230
73244263123
oct1010256522
9314601470
10136404306
116aaa6635
1239821816
132234b80c
141418a04a
15be96156
hex8215d52

136404306 has 48 divisors (see below), whose sum is σ = 324642240. Its totient is φ = 41199840.

The previous prime is 136404263. The next prime is 136404341. The reversal of 136404306 is 603404631.

136404306 is a `hidden beast` number, since 13 + 640 + 4 + 3 + 0 + 6 = 666.

It is a super-2 number, since 2×1364043062 = 37212269390683272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136404306.

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, 805 + ... + 16536.

It is an arithmetic number, because the mean of its divisors is an integer number (6763380).

Almost surely, 2136404306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136404306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162321120).

136404306 is an abundant number, since it is smaller than the sum of its proper divisors (188237934).

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

136404306 is a wasteful number, since it uses less digits than its factorization.

136404306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17391 (or 17388 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 136404306 is about 11679.2254023972. The cubic root of 136404306 is about 514.7654142594.

Adding to 136404306 its reverse (603404631), we get a palindrome (739808937).

The spelling of 136404306 in words is "one hundred thirty-six million, four hundred four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2622 3933 7866 17341 34682 52023 104046 156069 312138 329479 398843 658958 797686 988437 1196529 1976874 2393058 2965311 3589587 5930622 7179174 7578017 15156034 22734051 45468102 68202153 136404306