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136404 = 2234421
BaseRepresentation
bin100001010011010100
320221010000
4201103110
513331104
62531300
71105452
oct412324
9227100
10136404
1193534
1266b30
134a118
14379d2
152a639
hex214d4

136404 has 30 divisors (see below), whose sum is σ = 357434. Its totient is φ = 45360.

The previous prime is 136403. The next prime is 136417. The reversal of 136404 is 404631.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 63504 = 270^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136404.

It is not an unprimeable number, because it can be changed into a prime (136403) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 114 + ... + 534.

2136404 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 136404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178717).

136404 is an abundant number, since it is smaller than the sum of its proper divisors (221030).

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

136404 is a wasteful number, since it uses less digits than its factorization.

136404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 136404 is about 369.3291215163. The cubic root of 136404 is about 51.4765029329.

The spelling of 136404 in words is "one hundred thirty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 421 842 1263 1684 2526 3789 5052 7578 11367 15156 22734 34101 45468 68202 136404