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1106086960 = 245111256917
BaseRepresentation
bin100000111101101…
…1000110000110000
32212002022001001201
41001323120300300
54231124240320
6301431140544
736260404216
oct10173306060
92762261051
101106086960
115183a2560
1226a514754
13148202434
14a6c84cb6
156718970a
hex41ed8c30

1106086960 has 40 divisors (see below), whose sum is σ = 2805440976. Its totient is φ = 402213120.

The previous prime is 1106086939. The next prime is 1106086973. The reversal of 1106086960 is 696806011.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 627579 + ... + 629338.

Almost surely, 21106086960 is an apocalyptic number.

1106086960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106086960 is an abundant number, since it is smaller than the sum of its proper divisors (1699354016).

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

1106086960 is a wasteful number, since it uses less digits than its factorization.

1106086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256941 (or 1256935 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 1106086960 is about 33257.8856814440. The cubic root of 1106086960 is about 1034.1806891661.

The spelling of 1106086960 in words is "one billion, one hundred six million, eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1256917 2513834 5027668 6284585 10055336 12569170 13826087 20110672 25138340 27652174 50276680 55304348 69130435 100553360 110608696 138260870 221217392 276521740 553043480 1106086960