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1106790516 = 2232132364937
BaseRepresentation
bin100000111111000…
…0100100001110100
32212010121210011100
41001332010201310
54231314244031
6301454210100
736266364336
oct10176044164
92763553140
101106790516
11518833107
1226a7b3930
131483ba740
14a6dc9456
1567277de6
hex41f84874

1106790516 has 36 divisors (see below), whose sum is σ = 3012931012. Its totient is φ = 340550784.

The previous prime is 1106790431. The next prime is 1106790523. The reversal of 1106790516 is 6150976011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 117939600 + 988850916 = 10860^2 + 31446^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1182001 + ... + 1182936.

Almost surely, 21106790516 is an apocalyptic number.

It is an amenable number.

1106790516 is an abundant number, since it is smaller than the sum of its proper divisors (1906140496).

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

1106790516 is a wasteful number, since it uses less digits than its factorization.

1106790516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364960 (or 2364955 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1106790516 is about 33268.4612809189. The cubic root of 1106790516 is about 1034.3999153931.

The spelling of 1106790516 in words is "one billion, one hundred six million, seven hundred ninety thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2364937 4729874 7094811 9459748 14189622 21284433 28379244 30744181 42568866 61488362 85137732 92232543 122976724 184465086 276697629 368930172 553395258 1106790516