Search a number
-
+
1161288 = 23321272
BaseRepresentation
bin100011011100001001000
32011222222200
410123201020
5244130123
640520200
712604452
oct4334110
92158880
101161288
11723547
12480060
1331876b
142232d2
1517e143
hex11b848

1161288 has 36 divisors (see below), whose sum is σ = 3170115. Its totient is φ = 384048.

The previous prime is 1161269. The next prime is 1161289. The reversal of 1161288 is 8821611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 580644 + 580644 = 762^2 + 762^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=762.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1161289) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9081 + ... + 9207.

21161288 is an apocalyptic number.

1161288 is a gapful number since it is divisible by the number (18) 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 1161288

1161288 is an abundant number, since it is smaller than the sum of its proper divisors (2008827).

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

1161288 is a wasteful number, since it uses less digits than its factorization.

1161288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 132 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1161288 is about 1077.6307345283. The cubic root of 1161288 is about 105.1106316929.

Adding to 1161288 its reverse (8821611), we get a palindrome (9982899).

The spelling of 1161288 in words is "one million, one hundred sixty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 16129 32258 48387 64516 96774 129032 145161 193548 290322 387096 580644 1161288