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2791116 = 2232314161
BaseRepresentation
bin1010101001011011001100
312020210200200
422221123030
51203303431
6135453500
732503236
oct12513314
95223620
102791116
111637009
12b27290
13769563
14529256
153a1ee6
hex2a96cc

2791116 has 72 divisors (see below), whose sum is σ = 7582848. Its totient is φ = 864000.

The previous prime is 2791109. The next prime is 2791121. The reversal of 2791116 is 6111972.

2791116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2791116.

It is an unprimeable number.

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, 45726 + ... + 45786.

22791116 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 2791116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791424).

2791116 is an abundant number, since it is smaller than the sum of its proper divisors (4791732).

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

2791116 is a wasteful number, since it uses less digits than its factorization.

2791116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 2791116 is about 1670.6633413109. The cubic root of 2791116 is about 140.7967495591.

It can be divided in two parts, 279 and 1116, that multiplied together give a square (311364 = 5582).

The spelling of 2791116 in words is "two million, seven hundred ninety-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 61 62 82 93 122 123 124 164 183 186 244 246 279 366 369 372 492 549 558 732 738 1098 1116 1271 1476 1891 2196 2501 2542 3782 3813 5002 5084 5673 7503 7564 7626 10004 11346 11439 15006 15252 17019 22509 22692 22878 30012 34038 45018 45756 68076 77531 90036 155062 232593 310124 465186 697779 930372 1395558 2791116