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1106227728 = 243219404323
BaseRepresentation
bin100000111101111…
…1011001000010000
32212002120012011100
41001323323020100
54231143241403
6301434144400
736261531504
oct10173731020
92762505140
101106227728
115184892a1
1226a582100
13148251528
14a6cc0304
15671b62a3
hex41efb210

1106227728 has 60 divisors (see below), whose sum is σ = 3258851440. Its totient is φ = 349334208.

The previous prime is 1106227663. The next prime is 1106227729. The reversal of 1106227728 is 8277226011.

1106227728 is a `hidden beast` number, since 1 + 1 + 0 + 622 + 7 + 7 + 28 = 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 = 1106227692 and 1106227701.

It is not an unprimeable number, because it can be changed into a prime (1106227729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199426 + ... + 204897.

Almost surely, 21106227728 is an apocalyptic number.

1106227728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1106227728 is an abundant number, since it is smaller than the sum of its proper divisors (2152623712).

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

1106227728 is a wasteful number, since it uses less digits than its factorization.

1106227728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404356 (or 404347 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1106227728 is about 33260.0019242333. The cubic root of 1106227728 is about 1034.2245595480.

The spelling of 1106227728 in words is "one billion, one hundred six million, two hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 404323 808646 1212969 1617292 2425938 3234584 3638907 4851876 6469168 7277814 7682137 9703752 14555628 15364274 19407504 23046411 29111256 30728548 46092822 58222512 61457096 69139233 92185644 122914192 138278466 184371288 276556932 368742576 553113864 1106227728