Search a number
-
+
1106000688 = 243131726133
BaseRepresentation
bin100000111101100…
…0011101100110000
32212002010122201110
41001323003230300
54231114010223
6301425233320
736256564542
oct10173035460
92762118643
101106000688
11518343761
1226a492840
131481a20a0
14a6c61692
156716dd93
hex41ec3b30

1106000688 has 120 divisors (see below), whose sum is σ = 3269127568. Its totient is φ = 320237568.

The previous prime is 1106000677. The next prime is 1106000717. The reversal of 1106000688 is 8860006011.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177270 + ... + 183402.

Almost surely, 21106000688 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 1106000688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634563784).

1106000688 is an abundant number, since it is smaller than the sum of its proper divisors (2163126880).

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

1106000688 is a wasteful number, since it uses less digits than its factorization.

1106000688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1106000688 is about 33256.5886404484. The cubic root of 1106000688 is about 1034.1538006364.

Adding to 1106000688 its reverse (8860006011), we get a palindrome (9966006699).

The spelling of 1106000688 in words is "one billion, one hundred six million, six hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 289 312 408 442 578 624 663 816 867 884 1156 1326 1734 1768 2312 2652 3468 3536 3757 4624 5304 6133 6936 7514 10608 11271 12266 13872 15028 18399 22542 24532 30056 36798 45084 49064 60112 73596 79729 90168 98128 104261 147192 159458 180336 208522 239187 294384 312783 318916 417044 478374 625566 637832 834088 956748 1251132 1275664 1355393 1668176 1772437 1913496 2502264 2710786 3544874 3826992 4066179 5004528 5317311 5421572 7089748 8132358 10634622 10843144 14179496 16264716 21269244 21686288 23041681 28358992 32529432 42538488 46083362 65058864 69125043 85076976 92166724 138250086 184333448 276500172 368666896 553000344 1106000688