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110006793 = 3213940229
BaseRepresentation
bin1101000111010…
…01001000001001
321122222220221200
412203221020021
5211130204133
614525454413
72504020341
oct643511011
9248886850
10110006793
1157106806
1230a11409
1319a384a0
1410877d21
1599ce913
hex68e9209

110006793 has 12 divisors (see below), whose sum is σ = 171121860. Its totient is φ = 67696416.

The previous prime is 110006783. The next prime is 110006797. The reversal of 110006793 is 397600011.

It can be written as a sum of positive squares in 2 ways, for example, as 15586704 + 94420089 = 3948^2 + 9717^2 .

It is not a de Polignac number, because 110006793 - 210 = 110005769 is a prime.

It is a super-2 number, since 2×1100067932 = 24202989012289698, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110006797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469998 + ... + 470231.

It is an arithmetic number, because the mean of its divisors is an integer number (14260155).

Almost surely, 2110006793 is an apocalyptic number.

110006793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110006793 is a deficient number, since it is larger than the sum of its proper divisors (61115067).

110006793 is a wasteful number, since it uses less digits than its factorization.

110006793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940248 (or 940245 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 110006793 is about 10488.4123202704. The cubic root of 110006793 is about 479.1518485684.

The spelling of 110006793 in words is "one hundred ten million, six thousand, seven hundred ninety-three".

Divisors: 1 3 9 13 39 117 940229 2820687 8462061 12222977 36668931 110006793