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124146 = 23311219
BaseRepresentation
bin11110010011110010
320022022000
4132103302
512433041
62354430
71024641
oct362362
9208260
10124146
1185300
125ba16
1344679
1433358
1526bb6
hex1e4f2

124146 has 48 divisors (see below), whose sum is σ = 319200. Its totient is φ = 35640.

The previous prime is 124139. The next prime is 124147. The reversal of 124146 is 641421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (124147) by changing a digit.

124146 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 23 ways as a sum of consecutive naturals, for example, 6525 + ... + 6543.

It is an arithmetic number, because the mean of its divisors is an integer number (6650).

2124146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159600).

124146 is an abundant number, since it is smaller than the sum of its proper divisors (195054).

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

124146 is a wasteful number, since it uses less digits than its factorization.

124146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

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

The square root of 124146 is about 352.3435823170. The cubic root of 124146 is about 49.8858730322.

Adding to 124146 its reverse (641421), we get a palindrome (765567).

The spelling of 124146 in words is "one hundred twenty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 121 171 198 209 242 297 342 363 418 513 594 627 726 1026 1089 1254 1881 2178 2299 3267 3762 4598 5643 6534 6897 11286 13794 20691 41382 62073 124146