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69136 = 2429149
BaseRepresentation
bin10000111000010000
310111211121
4100320100
54203021
61252024
7405364
oct207020
9114747
1069136
1147a41
1234014
1325612
141b2a4
1515741
hex10e10

69136 has 20 divisors (see below), whose sum is σ = 139500. Its totient is φ = 33152.

The previous prime is 69127. The next prime is 69143. The reversal of 69136 is 63196.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 48400 = 144^2 + 220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 69136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 390 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (6975).

269136 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 69136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69750).

69136 is an abundant number, since it is smaller than the sum of its proper divisors (70364).

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

69136 is a wasteful number, since it uses less digits than its factorization.

69136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 69136 is about 262.9372548727. The cubic root of 69136 is about 41.0425890981.

It can be divided in two parts, 691 and 36, that added together give a palindrome (727).

The spelling of 69136 in words is "sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 464 596 1192 2384 4321 8642 17284 34568 69136