Search a number
-
+
1068128 = 25291151
BaseRepresentation
bin100000100110001100000
32000021012022
410010301200
5233140003
634521012
712036035
oct4046140
92007168
101068128
1166a556
12436168
132b5239
141db38c
15161738
hex104c60

1068128 has 24 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 515200.

The previous prime is 1068113. The next prime is 1068131. The reversal of 1068128 is 8218601.

It is a super-2 number, since 2×10681282 = 2281794848768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1068097 and 1068106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

21068128 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 1068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

1068128 is an abundant number, since it is smaller than the sum of its proper divisors (1109152).

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

1068128 is a wasteful number, since it uses less digits than its factorization.

1068128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1068128 is about 1033.5027818056. The cubic root of 1068128 is about 102.2212294240.

The spelling of 1068128 in words is "one million, sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1151 2302 4604 9208 18416 33379 36832 66758 133516 267032 534064 1068128