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1287328 = 2572821
BaseRepresentation
bin100111010010010100000
32102101212211
410322102200
5312143303
643331504
713641100
oct4722240
92371784
101287328
117aa209
12520b94
13360c43
14257200
151a666d
hex13a4a0

1287328 has 36 divisors (see below), whose sum is σ = 2951802. Its totient is φ = 551040.

The previous prime is 1287323. The next prime is 1287329. The reversal of 1287328 is 8237821.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 94864 = 1092^2 + 308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1287328.

It is not an unprimeable number, because it can be changed into a prime (1287323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1158 + ... + 1978.

21287328 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 1287328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475901).

1287328 is an abundant number, since it is smaller than the sum of its proper divisors (1664474).

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

1287328 is an equidigital number, since it uses as much as digits as its factorization.

1287328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 830 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 1287328 is about 1134.6047770039. The cubic root of 1287328 is about 108.7835110537.

The spelling of 1287328 in words is "one million, two hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 821 1568 1642 3284 5747 6568 11494 13136 22988 26272 40229 45976 80458 91952 160916 183904 321832 643664 1287328