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1106484228 = 2232195692843
BaseRepresentation
bin100000111110011…
…1001110000000100
32212010001020000100
41001330321300010
54231224443403
6301443444100
736263650353
oct10174716004
92763036010
101106484228
11518643a83
1226a686630
131483111c5
14a6d4999a
15672172a3
hex41f39c04

1106484228 has 72 divisors (see below), whose sum is σ = 2950365600. Its totient is φ = 348679296.

The previous prime is 1106484221. The next prime is 1106484229. The reversal of 1106484228 is 8224846011.

1106484228 is a `hidden beast` number, since 1 + 1 + 0 + 648 + 4 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1106484192 and 1106484201.

It is not an unprimeable number, because it can be changed into a prime (1106484221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387775 + ... + 390617.

It is an arithmetic number, because the mean of its divisors is an integer number (40977300).

Almost surely, 21106484228 is an apocalyptic number.

1106484228 is a gapful number since it is divisible by the number (18) 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 1106484228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475182800).

1106484228 is an abundant number, since it is smaller than the sum of its proper divisors (1843881372).

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

1106484228 is a wasteful number, since it uses less digits than its factorization.

1106484228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1106484228 is about 33263.8576836782. The cubic root of 1106484228 is about 1034.3044882679.

The spelling of 1106484228 in words is "one billion, one hundred six million, four hundred eighty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 569 684 1138 1707 2276 2843 3414 5121 5686 6828 8529 10242 10811 11372 17058 20484 21622 25587 32433 34116 43244 51174 54017 64866 97299 102348 108034 129732 162051 194598 216068 324102 389196 486153 648204 972306 1617667 1944612 3235334 4853001 6470668 9706002 14559003 19412004 29118006 30735673 58236012 61471346 92207019 122942692 184414038 276621057 368828076 553242114 1106484228