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69924 = 2235827
BaseRepresentation
bin10001000100100100
310112220210
4101010210
54214144
61255420
7410601
oct210444
9115823
1069924
1148598
1234570
1325a9a
141b6a8
1515ab9
hex11124

69924 has 12 divisors (see below), whose sum is σ = 163184. Its totient is φ = 23304.

The previous prime is 69911. The next prime is 69929. The reversal of 69924 is 42996.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 63 + 94 + 95 + 2 + 46 .

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 69891 and 69900.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69924.

It is not an unprimeable number, because it can be changed into a prime (69929) by changing a digit.

69924 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 2902 + ... + 2925.

269924 is an apocalyptic number.

It is an amenable number.

69924 is an abundant number, since it is smaller than the sum of its proper divisors (93260).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81592).

69924 is a wasteful number, since it uses less digits than its factorization.

69924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5832 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 69924 is about 264.4314656012. The cubic root of 69924 is about 41.1979324692.

It can be divided in two parts, 6992 and 4, that added together give a palindrome (6996).

The spelling of 69924 in words is "sixty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 5827 11654 17481 23308 34962 69924