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161874 = 23217232
BaseRepresentation
bin100111100001010010
322020001100
4213201102
520134444
63245230
71242636
oct474122
9266040
10161874
11100689
1279816
13588ab
1442dc6
1532e69
hex27852

161874 has 36 divisors (see below), whose sum is σ = 388206. Its totient is φ = 48576.

The previous prime is 161873. The next prime is 161879. The reversal of 161874 is 478161.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 42849 = 345^2 + 207^2 .

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161873) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7027 + ... + 7049.

2161874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194103).

161874 is an abundant number, since it is smaller than the sum of its proper divisors (226332).

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

161874 is a wasteful number, since it uses less digits than its factorization.

161874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 161874 is about 402.3356807443. The cubic root of 161874 is about 54.4994809591.

It can be divided in two parts, 161 and 874, that added together give a triangular number (1035 = T45).

The spelling of 161874 in words is "one hundred sixty-one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 529 782 1058 1173 1587 2346 3174 3519 4761 7038 8993 9522 17986 26979 53958 80937 161874