Search a number
-
+
161696 = 2531163
BaseRepresentation
bin100111011110100000
322012210202
4213132200
520133241
63244332
71242263
oct473640
9265722
10161696
11100537
12796a8
13587a2
1442cda
1532d9b
hex277a0

161696 has 24 divisors (see below), whose sum is σ = 330624. Its totient is φ = 77760.

The previous prime is 161683. The next prime is 161717. The reversal of 161696 is 696161.

161696 = T3 + T4 + ... + T98.

161696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1616962 = 52291192832, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 161696.

It is an unprimeable number.

161696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 911 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (13776).

2161696 is an apocalyptic number.

161696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312).

161696 is an abundant number, since it is smaller than the sum of its proper divisors (168928).

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

161696 is a wasteful number, since it uses less digits than its factorization.

161696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 161696 is about 402.1144115796. The cubic root of 161696 is about 54.4794973802.

The spelling of 161696 in words is "one hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 124 163 248 326 496 652 992 1304 2608 5053 5216 10106 20212 40424 80848 161696