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1106147308 = 227438311069
BaseRepresentation
bin100000111101110…
…0111011111101100
32212002102002211211
41001323213133230
54231133203213
6301432324204
736261045160
oct10173473754
92762362754
101106147308
11518433932
1226a543664
13148223a46
14a6c9cca0
156719c53d
hex41ee77ec

1106147308 has 48 divisors (see below), whose sum is σ = 2291224320. Its totient is φ = 457418304.

The previous prime is 1106147297. The next prime is 1106147309. The reversal of 1106147308 is 8037416011.

It is a self number, because there is not a number n which added to its sum of digits gives 1106147308.

It is not an unprimeable number, because it can be changed into a prime (1106147309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94398 + ... + 105466.

It is an arithmetic number, because the mean of its divisors is an integer number (47733840).

Almost surely, 21106147308 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 1106147308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145612160).

1106147308 is an abundant number, since it is smaller than the sum of its proper divisors (1185077012).

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

1106147308 is a wasteful number, since it uses less digits than its factorization.

1106147308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11206 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1106147308 is about 33258.7929426189. The cubic root of 1106147308 is about 1034.1994970909.

The spelling of 1106147308 in words is "one billion, one hundred six million, one hundred forty-seven thousand, three hundred eight".

Divisors: 1 2 4 7 14 28 43 83 86 166 172 301 332 581 602 1162 1204 2324 3569 7138 11069 14276 22138 24983 44276 49966 77483 99932 154966 309932 475967 918727 951934 1837454 1903868 3331769 3674908 6431089 6663538 12862178 13327076 25724356 39505261 79010522 158021044 276536827 553073654 1106147308