Search a number
-
+
1106600664 = 2331324114717
BaseRepresentation
bin100000111110101…
…0110001011011000
32212010021010201210
41001331112023120
54231242210124
6301450143120
736264644001
oct10175261330
92763233653
101106600664
11518713504
1226a721aa0
131483521c0
14a6d7a1a8
156723ba29
hex41f562d8

1106600664 has 64 divisors (see below), whose sum is σ = 2991875040. Its totient is φ = 339056640.

The previous prime is 1106600653. The next prime is 1106600687. The reversal of 1106600664 is 4660066011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67834 + ... + 82550.

Almost surely, 21106600664 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 1106600664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495937520).

1106600664 is an abundant number, since it is smaller than the sum of its proper divisors (1885274376).

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

1106600664 is a wasteful number, since it uses less digits than its factorization.

1106600664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980 (or 14976 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1106600664 is about 33265.6078255005. The cubic root of 1106600664 is about 1034.3407671563.

Adding to 1106600664 its reverse (4660066011), we get a palindrome (5766666675).

The spelling of 1106600664 in words is "one billion, one hundred six million, six hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 241 312 482 723 964 1446 1928 2892 3133 5784 6266 9399 12532 14717 18798 25064 29434 37596 44151 58868 75192 88302 117736 176604 191321 353208 382642 573963 765284 1147926 1530568 2295852 3546797 4591704 7093594 10640391 14187188 21280782 28374376 42561564 46108361 85123128 92216722 138325083 184433444 276650166 368866888 553300332 1106600664