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1028960 = 25559109
BaseRepresentation
bin11111011001101100000
31221021110122
43323031200
5230411320
634015412
711513612
oct3731540
91837418
101028960
11643089
12417568
132a046a
141cadb2
15154d25
hexfb360

1028960 has 48 divisors (see below), whose sum is σ = 2494800. Its totient is φ = 400896.

The previous prime is 1028957. The next prime is 1028969. The reversal of 1028960 is 698201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9386 + ... + 9494.

It is an arithmetic number, because the mean of its divisors is an integer number (51975).

21028960 is an apocalyptic number.

1028960 is a gapful number since it is divisible by the number (10) 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 1028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247400).

1028960 is an abundant number, since it is smaller than the sum of its proper divisors (1465840).

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

1028960 is a wasteful number, since it uses less digits than its factorization.

1028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1028960 is about 1014.3766558828. The cubic root of 1028960 is about 100.9561617417.

The spelling of 1028960 in words is "one million, twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 109 118 160 218 236 295 436 472 545 590 872 944 1090 1180 1744 1888 2180 2360 3488 4360 4720 6431 8720 9440 12862 17440 25724 32155 51448 64310 102896 128620 205792 257240 514480 1028960