Search a number
-
+
1069120 = 26513257
BaseRepresentation
bin100000101000001000000
32000022120001
410011001000
5233202440
634525344
712041653
oct4050100
92008501
101069120
11670278
12436854
132b5820
141db89a
15161b9a
hex105040

1069120 has 56 divisors (see below), whose sum is σ = 2752344. Its totient is φ = 393216.

The previous prime is 1069099. The next prime is 1069127. The reversal of 1069120 is 219601.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 861184 = 456^2 + 928^2 .

It is a super-2 number, since 2×10691202 = 2286035148800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069127) 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, 4032 + ... + 4288.

It is an arithmetic number, because the mean of its divisors is an integer number (49149).

21069120 is an apocalyptic number.

1069120 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 1069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376172).

1069120 is an abundant number, since it is smaller than the sum of its proper divisors (1683224).

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

1069120 is a wasteful number, since it uses less digits than its factorization.

1069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1069120 is about 1033.9825917297. The cubic root of 1069120 is about 102.2528648596.

The spelling of 1069120 in words is "one million, sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 257 260 320 416 514 520 832 1028 1040 1285 2056 2080 2570 3341 4112 4160 5140 6682 8224 10280 13364 16448 16705 20560 26728 33410 41120 53456 66820 82240 106912 133640 213824 267280 534560 1069120