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1106162336 = 25311636841
BaseRepresentation
bin100000111101110…
…1011001010100000
32212002102212110102
41001323223022200
54231134143321
6301432521532
736261140036
oct10173531240
92762385412
101106162336
11518444154
1226a5502a8
1314822a836
14a6ca4556
15671a1c0b
hex41eeb2a0

1106162336 has 48 divisors (see below), whose sum is σ = 2262129408. Its totient is φ = 531878400.

The previous prime is 1106162333. The next prime is 1106162339. The reversal of 1106162336 is 6332616011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1106162333) and next prime (1106162339).

It is a super-3 number, since 3×11061623363 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1106162299 and 1106162308.

It is not an unprimeable number, because it can be changed into a prime (1106162333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158276 + ... + 165116.

It is an arithmetic number, because the mean of its divisors is an integer number (47127696).

Almost surely, 21106162336 is an apocalyptic number.

1106162336 is a gapful number since it is divisible by the number (16) 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 1106162336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131064704).

1106162336 is an abundant number, since it is smaller than the sum of its proper divisors (1155967072).

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

1106162336 is a wasteful number, since it uses less digits than its factorization.

1106162336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1106162336 is about 33259.0188670682. The cubic root of 1106162336 is about 1034.2041805780.

Adding to 1106162336 its reverse (6332616011), we get a palindrome (7438778347).

The spelling of 1106162336 in words is "one billion, one hundred six million, one hundred sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 163 248 326 496 652 992 1304 2608 5053 5216 6841 10106 13682 20212 27364 40424 54728 80848 109456 161696 212071 218912 424142 848284 1115083 1696568 2230166 3393136 4460332 6786272 8920664 17841328 34567573 35682656 69135146 138270292 276540584 553081168 1106162336