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61696 = 28241
BaseRepresentation
bin1111000100000000
310010122001
433010000
53433241
61153344
7344605
oct170400
9103561
1061696
1142398
122b854
132210b
14186ac
1513431
hexf100

61696 has 18 divisors (see below), whose sum is σ = 123662. Its totient is φ = 30720.

The previous prime is 61687. The next prime is 61703. The reversal of 61696 is 69616.

It is a happy number.

61696 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 4096 = 240^2 + 64^2 .

It is an Ulam number.

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

Its product of digits (1944) is a multiple of the sum of its prime divisors (243).

It is a nialpdrome in base 16.

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 as a sum of consecutive naturals, namely, 136 + ... + 376.

261696 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 61696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61831).

61696 is an abundant number, since it is smaller than the sum of its proper divisors (61966).

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

61696 is an equidigital number, since it uses as much as digits as its factorization.

61696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

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

The square root of 61696 is about 248.3867951402. The cubic root of 61696 is about 39.5141219601.

It can be divided in two parts, 61 and 696, that added together give a palindrome (757).

The spelling of 61696 in words is "sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 241 256 482 964 1928 3856 7712 15424 30848 61696