Search a number
-
+
69105969 = 321721632
BaseRepresentation
bin1000001111001…
…11100100110001
311211000221120100
410013213210301
5120142342334
610505103013
71466251062
oct407474461
9154027510
1069105969
1136010379
121b187a69
131141790a
14926c569
156100c99
hex41e7931

69105969 has 27 divisors (see below), whose sum is σ = 106691403. Its totient is φ = 43094592.

The previous prime is 69105947. The next prime is 69105977. The reversal of 69105969 is 96950196.

The square root of 69105969 is 8313.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53802225 + 15303744 = 7335^2 + 3912^2 .

It is not a de Polignac number, because 69105969 - 25 = 69105937 is a prime.

It is a super-2 number, since 2×691059692 = 9551269902857922, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (69105929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 423882 + ... + 424044.

Almost surely, 269105969 is an apocalyptic number.

69105969 is the 8313-rd square number.

69105969 is the 4157-th centered octagonal number.

It is an amenable number.

69105969 is a deficient number, since it is larger than the sum of its proper divisors (37585434).

69105969 is a wasteful number, since it uses less digits than its factorization.

69105969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The cubic root of 69105969 is about 410.3664560263.

The spelling of 69105969 in words is "sixty-nine million, one hundred five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 17 51 153 163 289 489 867 1467 2601 2771 8313 24939 26569 47107 79707 141321 239121 423963 451673 1355019 4065057 7678441 23035323 69105969