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161838 = 23737
BaseRepresentation
bin100111100000101110
322020000000
4213200232
520134323
63245130
71242555
oct474056
9266000
10161838
11100656
12797a6
1358881
1442d9c
1532e43
hex2782e

161838 has 32 divisors (see below), whose sum is σ = 373920. Its totient is φ = 52488.

The previous prime is 161831. The next prime is 161839. The reversal of 161838 is 838161.

Adding to 161838 its reverse (838161), we get a palindrome (999999).

It can be divided in two parts, 161 and 838, that added together give a palindrome (999).

161838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161831) by changing a digit.

161838 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 15 ways as a sum of consecutive naturals, for example, 4356 + ... + 4392.

It is an arithmetic number, because the mean of its divisors is an integer number (11685).

2161838 is an apocalyptic number.

161838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186960).

161838 is an abundant number, since it is smaller than the sum of its proper divisors (212082).

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

161838 is an frugal number, since it uses more digits than its factorization.

161838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 161838 is about 402.2909394953. The cubic root of 161838 is about 54.4954405186.

The spelling of 161838 in words is "one hundred sixty-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1458 1998 2187 2997 4374 5994 8991 17982 26973 53946 80919 161838