Search a number
-
+
1064160 = 25325739
BaseRepresentation
bin100000011110011100000
32000001202100
410003303200
5233023120
634450400
712021336
oct4036340
92001670
101064160
11667579
12433a00
132b34a6
141d9b56
15160490
hex103ce0

1064160 has 72 divisors (see below), whose sum is σ = 3636360. Its totient is φ = 283392.

The previous prime is 1064159. The next prime is 1064177. The reversal of 1064160 is 614601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10641602 = 2264873011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071 + ... + 1809.

It is an arithmetic number, because the mean of its divisors is an integer number (50505).

21064160 is an apocalyptic number.

1064160 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 1064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818180).

1064160 is an abundant number, since it is smaller than the sum of its proper divisors (2572200).

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

1064160 is a wasteful number, since it uses less digits than its factorization.

1064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1064160 is about 1031.5813104162. The cubic root of 1064160 is about 102.0944914454.

Adding to 1064160 its reverse (614601), we get a palindrome (1678761).

It can be divided in two parts, 10641 and 60, that added together give a palindrome (10701).

The spelling of 1064160 in words is "one million, sixty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 739 1440 1478 2217 2956 3695 4434 5912 6651 7390 8868 11085 11824 13302 14780 17736 22170 23648 26604 29560 33255 35472 44340 53208 59120 66510 70944 88680 106416 118240 133020 177360 212832 266040 354720 532080 1064160