Search a number
-
+
1326996 = 2233111117
BaseRepresentation
bin101000011111110010100
32111102022000
411003332110
5314430441
644235300
714164536
oct5037624
92442260
101326996
11826aa0
1253bb30
13376008
14267856
151b32b6
hex143f94

1326996 has 48 divisors (see below), whose sum is σ = 3756480. Its totient is φ = 401760.

The previous prime is 1326989. The next prime is 1327009. The reversal of 1326996 is 6996231.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 1326996.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630 + ... + 1746.

It is an arithmetic number, because the mean of its divisors is an integer number (78260).

21326996 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 1326996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878240).

1326996 is an abundant number, since it is smaller than the sum of its proper divisors (2429484).

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

1326996 is a wasteful number, since it uses less digits than its factorization.

1326996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

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

The square root of 1326996 is about 1151.9531240463. The cubic root of 1326996 is about 109.8895861776.

The spelling of 1326996 in words is "one million, three hundred twenty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1117 1188 2234 3351 4468 6702 10053 12287 13404 20106 24574 30159 36861 40212 49148 60318 73722 110583 120636 147444 221166 331749 442332 663498 1326996