Search a number
-
+
1071144 = 23351929
BaseRepresentation
bin100000101100000101000
32000102100000
410011200220
5233234034
634543000
712050604
oct4054050
92012300
101071144
11671848
12437a60
132b6719
141dc504
15162599
hex105828

1071144 has 96 divisors (see below), whose sum is σ = 3276000. Its totient is φ = 326592.

The previous prime is 1071139. The next prime is 1071149. The reversal of 1071144 is 4411701.

It is an interprime number because it is at equal distance from previous prime (1071139) and next prime (1071149).

It is a super-2 number, since 2×10711442 = 2294698937472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1071149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36922 + ... + 36950.

It is an arithmetic number, because the mean of its divisors is an integer number (34125).

21071144 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 1071144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638000).

1071144 is an abundant number, since it is smaller than the sum of its proper divisors (2204856).

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

1071144 is a wasteful number, since it uses less digits than its factorization.

1071144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1071144 is about 1034.9608688255. The cubic root of 1071144 is about 102.3173507090.

Adding to 1071144 its reverse (4411701), we get a palindrome (5482845).

The spelling of 1071144 in words is "one million, seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 81 87 108 114 116 152 162 171 174 216 228 232 243 261 324 342 348 456 486 513 522 551 648 684 696 783 972 1026 1044 1102 1368 1539 1566 1653 1944 2052 2088 2204 2349 3078 3132 3306 4104 4408 4617 4698 4959 6156 6264 6612 7047 9234 9396 9918 12312 13224 14094 14877 18468 18792 19836 28188 29754 36936 39672 44631 56376 59508 89262 119016 133893 178524 267786 357048 535572 1071144