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1164144 = 24379307
BaseRepresentation
bin100011100001101110000
32012010220110
410130031300
5244223034
640541320
712616002
oct4341560
92163813
101164144
11725703
12481840
13319b57
14224372
1517ede9
hex11c370

1164144 has 40 divisors (see below), whose sum is σ = 3055360. Its totient is φ = 381888.

The previous prime is 1164101. The next prime is 1164173. The reversal of 1164144 is 4414611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1164144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3639 + ... + 3945.

It is an arithmetic number, because the mean of its divisors is an integer number (76384).

21164144 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 1164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527680).

1164144 is an abundant number, since it is smaller than the sum of its proper divisors (1891216).

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

1164144 is a wasteful number, since it uses less digits than its factorization.

1164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1164144 is about 1078.9550500368. The cubic root of 1164144 is about 105.1967286833.

Adding to 1164144 its reverse (4414611), we get a palindrome (5578755).

The spelling of 1164144 in words is "one million, one hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 307 316 474 614 632 921 948 1228 1264 1842 1896 2456 3684 3792 4912 7368 14736 24253 48506 72759 97012 145518 194024 291036 388048 582072 1164144