Search a number
-
+
181016 = 2311317
BaseRepresentation
bin101100001100011000
3100012022022
4230030120
521243031
63514012
71352513
oct541430
9305268
10181016
11114000
1288908
1364514
1449d7a
153897b
hex2c318

181016 has 32 divisors (see below), whose sum is σ = 395280. Its totient is φ = 77440.

The previous prime is 181003. The next prime is 181019. The reversal of 181016 is 610181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

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

It is a junction number, because it is equal to n+sod(n) for n = 180985 and 181003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181019) by changing a digit.

181016 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10640 + ... + 10656.

2181016 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 181016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197640).

181016 is an abundant number, since it is smaller than the sum of its proper divisors (214264).

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

181016 is a wasteful number, since it uses less digits than its factorization.

181016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 181016 is about 425.4597513279. The cubic root of 181016 is about 56.5681949945.

181016 divided by its sum of digits (17) gives a cube (10648 = 223).

Adding to 181016 its reverse (610181), we get a palindrome (791197).

The spelling of 181016 in words is "one hundred eighty-one thousand, sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1331 1496 2057 2662 4114 5324 8228 10648 16456 22627 45254 90508 181016