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1329048 = 23347293
BaseRepresentation
bin101000100011110011000
32111112010000
411010132120
5320012143
644253000
714203530
oct5043630
92445100
101329048
11828596
12541160
13376c26
142684c0
151b3bd3
hex144798

1329048 has 80 divisors (see below), whose sum is σ = 4268880. Its totient is φ = 378432.

The previous prime is 1329011. The next prime is 1329061. The reversal of 1329048 is 8409231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4390 + ... + 4682.

It is an arithmetic number, because the mean of its divisors is an integer number (53361).

21329048 is an apocalyptic number.

1329048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134440).

1329048 is an abundant number, since it is smaller than the sum of its proper divisors (2939832).

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

1329048 is a wasteful number, since it uses less digits than its factorization.

1329048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1329048 is about 1152.8434412356. The cubic root of 1329048 is about 109.9461995861.

It can be divided in two parts, 132 and 9048, that added together give a triangular number (9180 = T135).

The spelling of 1329048 in words is "one million, three hundred twenty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 293 324 378 504 567 586 648 756 879 1134 1172 1512 1758 2051 2268 2344 2637 3516 4102 4536 5274 6153 7032 7911 8204 10548 12306 15822 16408 18459 21096 23733 24612 31644 36918 47466 49224 55377 63288 73836 94932 110754 147672 166131 189864 221508 332262 443016 664524 1329048