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69904 = 2417257
BaseRepresentation
bin10001000100010000
310112220001
4101010100
54214104
61255344
7410542
oct210420
9115801
1069904
114857a
1234554
1325a83
141b692
1515aa4
hex11110

69904 has 20 divisors (see below), whose sum is σ = 143964. Its totient is φ = 32768.

The previous prime is 69899. The next prime is 69911. The reversal of 69904 is 40996.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 6400 = 252^2 + 80^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

In principle, a polygon with 69904 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144 + ... + 400.

269904 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 69904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71982).

69904 is an abundant number, since it is smaller than the sum of its proper divisors (74060).

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

69904 is a wasteful number, since it uses less digits than its factorization.

69904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 69904 is about 264.3936459146. The cubic root of 69904 is about 41.1940042175.

The spelling of 69904 in words is "sixty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 257 272 514 1028 2056 4112 4369 8738 17476 34952 69904