Search a number
-
+
1239966 = 232713757
BaseRepresentation
bin100101110101110011110
32022222220200
410232232132
5304134331
642324330
713353030
oct4565636
92288820
101239966
11777672
124b96a6
13345510
14243c50
151975e6
hex12eb9e

1239966 has 48 divisors (see below), whose sum is σ = 3310944. Its totient is φ = 326592.

The previous prime is 1239961. The next prime is 1239971. The reversal of 1239966 is 6699321.

It is an interprime number because it is at equal distance from previous prime (1239961) and next prime (1239971).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1239966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1239961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260 + ... + 2016.

It is an arithmetic number, because the mean of its divisors is an integer number (68978).

21239966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1239966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655472).

1239966 is an abundant number, since it is smaller than the sum of its proper divisors (2070978).

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

1239966 is a wasteful number, since it uses less digits than its factorization.

1239966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 782 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 1239966 is about 1113.5376060107. The cubic root of 1239966 is about 107.4327251689.

The spelling of 1239966 in words is "one million, two hundred thirty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 757 819 1514 1638 2271 4542 5299 6813 9841 10598 13626 15897 19682 29523 31794 47691 59046 68887 88569 95382 137774 177138 206661 413322 619983 1239966