Search a number
-
+
1021328 = 24711829
BaseRepresentation
bin11111001010110010000
31220212222222
43321112100
5230140303
633520212
711452430
oct3712620
91825888
101021328
11638380
12413068
13299b49
141c82c0
15152938
hexf9590

1021328 has 40 divisors (see below), whose sum is σ = 2470080. Its totient is φ = 397440.

The previous prime is 1021327. The next prime is 1021331. The reversal of 1021328 is 8231201.

1021328 = T7 + T8 + ... + T182.

1021328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10213282 = 2086221767168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818 + ... + 1646.

It is an arithmetic number, because the mean of its divisors is an integer number (61752).

21021328 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 1021328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235040).

1021328 is an abundant number, since it is smaller than the sum of its proper divisors (1448752).

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

1021328 is a wasteful number, since it uses less digits than its factorization.

1021328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1021328 is about 1010.6077379478. The cubic root of 1021328 is about 100.7059381203.

Adding to 1021328 its reverse (8231201), we get a palindrome (9252529).

The spelling of 1021328 in words is "one million, twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 829 1232 1658 3316 5803 6632 9119 11606 13264 18238 23212 36476 46424 63833 72952 92848 127666 145904 255332 510664 1021328