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69696 = 2632112
BaseRepresentation
bin10001000001000000
310112121100
4101001000
54212241
61254400
7410124
oct210100
9115540
1069696
1148400
1234400
1325953
141b584
15159b6
hex11040

69696 has 63 divisors (see below), whose sum is σ = 219583. Its totient is φ = 21120.

The previous prime is 69691. The next prime is 69697.

Multipling 69696 by its sum of digits (36), we get a square (2509056 = 15842).

69696 divided by its sum of digits (36) gives a square (1936 = 442).

It can be divided in two parts, 6969 and 6, that multiplied together give a palindrome (41814).

69696 = T263 + T264.

The square root of 69696 is 264.

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

69696 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

69696 is an undulating number in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 69696.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69696.

It is not an unprimeable number, because it can be changed into a prime (69691) by changing a digit.

69696 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 (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6331 + ... + 6341.

269696 is an apocalyptic number.

69696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

69696 is the 264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69696

69696 is an abundant number, since it is smaller than the sum of its proper divisors (149887).

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

69696 is a wasteful number, since it uses less digits than its factorization.

69696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 16 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The cubic root of 69696 is about 41.1531059124.

The spelling of 69696 in words is "sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696