Search a number
-
+
2749104 = 2432171123
BaseRepresentation
bin1010011111001010110000
312011200001200
422133022300
51200432404
6134531200
732236611
oct12371260
95150050
102749104
111608496
12b06b00
137533b7
14517c08
15394839
hex29f2b0

2749104 has 60 divisors (see below), whose sum is σ = 8153496. Its totient is φ = 861696.

The previous prime is 2749093. The next prime is 2749127. The reversal of 2749104 is 4019472.

It is a happy number.

2749104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 1887 + ... + 3009.

22749104 is an apocalyptic number.

2749104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2749104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076748).

2749104 is an abundant number, since it is smaller than the sum of its proper divisors (5404392).

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

2749104 is a wasteful number, since it uses less digits than its factorization.

2749104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2749104 is about 1658.0422190041. The cubic root of 2749104 is about 140.0867489573.

The spelling of 2749104 in words is "two million, seven hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1123 1224 2246 2448 3369 4492 6738 8984 10107 13476 17968 19091 20214 26952 38182 40428 53904 57273 76364 80856 114546 152728 161712 171819 229092 305456 343638 458184 687276 916368 1374552 2749104