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241164 = 223371129
BaseRepresentation
bin111010111000001100
3110020211000
4322320030
530204124
65100300
72023050
oct727014
9406730
10241164
11155210
12b7690
1385a01
1463c60
154b6c9
hex3ae0c

241164 has 96 divisors (see below), whose sum is σ = 806400. Its totient is φ = 60480.

The previous prime is 241141. The next prime is 241169. The reversal of 241164 is 461142.

241164 = T117 + T118 + ... + T144.

241164 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 (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (241169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8302 + ... + 8330.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2241164 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 241164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

241164 is an abundant number, since it is smaller than the sum of its proper divisors (565236).

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

241164 is a wasteful number, since it uses less digits than its factorization.

241164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 241164 is about 491.0845141114. The cubic root of 241164 is about 62.2449553177.

It can be divided in two parts, 2 and 41164, that multiplied together give a palindrome (82328).

The spelling of 241164 in words is "two hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 29 33 36 42 44 54 58 63 66 77 84 87 99 108 116 126 132 154 174 189 198 203 231 252 261 297 308 319 348 378 396 406 462 522 594 609 638 693 756 783 812 924 957 1044 1188 1218 1276 1386 1566 1827 1914 2079 2233 2436 2772 2871 3132 3654 3828 4158 4466 5481 5742 6699 7308 8316 8613 8932 10962 11484 13398 17226 20097 21924 26796 34452 40194 60291 80388 120582 241164