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2768117 = 11222877
BaseRepresentation
bin1010100011110011110101
312012122010212
422203303311
51202034432
6135155205
732346212
oct12436365
95178125
102768117
111620800
12b15b05
1375bc51
14520b09
1539a2b2
hex2a3cf5

2768117 has 6 divisors (see below), whose sum is σ = 3042774. Its totient is φ = 2516360.

The previous prime is 2768071. The next prime is 2768123. The reversal of 2768117 is 7118672.

It can be written as a sum of positive squares in only one way, i.e., 2686321 + 81796 = 1639^2 + 286^2 .

It is not a de Polignac number, because 2768117 - 214 = 2751733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768177) 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 5 ways as a sum of consecutive naturals, for example, 11318 + ... + 11559.

It is an arithmetic number, because the mean of its divisors is an integer number (507129).

22768117 is an apocalyptic number.

It is an amenable number.

2768117 is a deficient number, since it is larger than the sum of its proper divisors (274657).

2768117 is a wasteful number, since it uses less digits than its factorization.

2768117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22899 (or 22888 counting only the distinct ones).

The product of its digits is 4704, while the sum is 32.

The square root of 2768117 is about 1663.7659090148. The cubic root of 2768117 is about 140.4089572833.

The spelling of 2768117 in words is "two million, seven hundred sixty-eight thousand, one hundred seventeen".

Divisors: 1 11 121 22877 251647 2768117