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123066 = 2334353
BaseRepresentation
bin11110000010111010
320020211000
4132002322
512414231
62345430
71021536
oct360272
9206730
10123066
1184509
125b276
1344028
1432bc6
15266e6
hex1e0ba

123066 has 32 divisors (see below), whose sum is σ = 285120. Its totient is φ = 39312.

The previous prime is 123059. The next prime is 123077. The reversal of 123066 is 660321.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2296 + ... + 2348.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2123066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560).

123066 is an abundant number, since it is smaller than the sum of its proper divisors (162054).

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

123066 is a wasteful number, since it uses less digits than its factorization.

123066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123066 is about 350.8076395975. The cubic root of 123066 is about 49.7407918784.

Adding to 123066 its reverse (660321), we get a palindrome (783387).

It can be divided in two parts, 1230 and 66, that added together give a 4-th power (1296 = 64).

The spelling of 123066 in words is "one hundred twenty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 43 53 54 86 106 129 159 258 318 387 477 774 954 1161 1431 2279 2322 2862 4558 6837 13674 20511 41022 61533 123066