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1106065660 = 225718143649
BaseRepresentation
bin100000111101101…
…0011100011111100
32212002020221211211
41001323103203330
54231123100120
6301430454204
736260255140
oct10173234374
92762227754
101106065660
11518388557
1226a504364
131481c582b
14a6c7b220
156718325a
hex41ed38fc

1106065660 has 48 divisors (see below), whose sum is σ = 2669284800. Its totient is φ = 377118720.

The previous prime is 1106065657. The next prime is 1106065661. The reversal of 1106065660 is 665606011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106065661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3516 + ... + 47164.

It is an arithmetic number, because the mean of its divisors is an integer number (55610100).

Almost surely, 21106065660 is an apocalyptic number.

1106065660 is a gapful number since it is divisible by the number (10) 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 1106065660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334642400).

1106065660 is an abundant number, since it is smaller than the sum of its proper divisors (1563219140).

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

1106065660 is a wasteful number, since it uses less digits than its factorization.

1106065660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43846 (or 43844 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1106065660 is about 33257.5654550961. The cubic root of 1106065660 is about 1034.1740506917.

The spelling of 1106065660 in words is "one billion, one hundred six million, sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 25340 43649 87298 174596 218245 305543 436490 611086 872980 1222172 1527715 3055430 6110860 7900469 15800938 31601876 39502345 55303283 79004690 110606566 158009380 221213132 276516415 553032830 1106065660