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2771868 = 2231122383
BaseRepresentation
bin1010100100101110011100
312012211021210
422210232130
51202144433
6135224420
732363151
oct12445634
95184253
102771868
111623600
12b18110
13760878
14522228
1539b463
hex2a4b9c

2771868 has 72 divisors (see below), whose sum is σ = 7507584. Its totient is φ = 793760.

The previous prime is 2771863. The next prime is 2771893. The reversal of 2771868 is 8681772.

2771868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771861) 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 23 ways as a sum of consecutive naturals, for example, 33355 + ... + 33437.

It is an arithmetic number, because the mean of its divisors is an integer number (104272).

22771868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2771868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792).

2771868 is an abundant number, since it is smaller than the sum of its proper divisors (4735716).

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

2771868 is a wasteful number, since it uses less digits than its factorization.

2771868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 2771868 is about 1664.8927893411. The cubic root of 2771868 is about 140.4723501100.

It can be divided in two parts, 277 and 1868, that added together give a triangular number (2145 = T65).

The spelling of 2771868 in words is "two million, seven hundred seventy-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 83 92 121 132 138 166 242 249 253 276 332 363 484 498 506 726 759 913 996 1012 1452 1518 1826 1909 2739 2783 3036 3652 3818 5478 5566 5727 7636 8349 10043 10956 11132 11454 16698 20086 20999 22908 30129 33396 40172 41998 60258 62997 83996 120516 125994 230989 251988 461978 692967 923956 1385934 2771868