Search a number
-
+
2744120 = 235312213
BaseRepresentation
bin1010011101111100111000
312011102020002
422131330320
51200302440
6134452132
732216231
oct12357470
95142202
102744120
111604775
12b04048
13751052
14516088
15393115
hex29df38

2744120 has 32 divisors (see below), whose sum is σ = 6376320. Its totient is φ = 1061760.

The previous prime is 2744117. The next prime is 2744129. The reversal of 2744120 is 214472.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2744092 and 2744101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744129) 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 7 ways as a sum of consecutive naturals, for example, 134 + ... + 2346.

It is an arithmetic number, because the mean of its divisors is an integer number (199260).

22744120 is an apocalyptic number.

2744120 is a gapful number since it is divisible by the number (20) 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 2744120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188160).

2744120 is an abundant number, since it is smaller than the sum of its proper divisors (3632200).

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

2744120 is a wasteful number, since it uses less digits than its factorization.

2744120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2744120 is about 1656.5385597685. The cubic root of 2744120 is about 140.0020407866.

Adding to 2744120 its reverse (214472), we get a palindrome (2958592).

The spelling of 2744120 in words is "two million, seven hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2213 4426 8852 11065 17704 22130 44260 68603 88520 137206 274412 343015 548824 686030 1372060 2744120