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2742500 = 22541097
BaseRepresentation
bin1010011101100011100100
312011100000002
422131203210
51200230000
6134440432
732211425
oct12354344
95140002
102742500
111603532
12b03118
137503a7
1451564c
153928d5
hex29d8e4

2742500 has 30 divisors (see below), whose sum is σ = 6002766. Its totient is φ = 1096000.

The previous prime is 2742473. The next prime is 2742503. The reversal of 2742500 is 52472.

2742500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1378276 + 1364224 = 1174^2 + 1168^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2742503) 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 9 ways as a sum of consecutive naturals, for example, 1952 + ... + 3048.

22742500 is an apocalyptic number.

2742500 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 2742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001383).

2742500 is an abundant number, since it is smaller than the sum of its proper divisors (3260266).

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

2742500 is a wasteful number, since it uses less digits than its factorization.

2742500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2742500 is about 1656.0495161679. The cubic root of 2742500 is about 139.9744851461.

Adding to 2742500 its reverse (52472), we get a palindrome (2794972).

The spelling of 2742500 in words is "two million, seven hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1097 1250 2194 2500 4388 5485 10970 21940 27425 54850 109700 137125 274250 548500 685625 1371250 2742500