Search a number
-
+
2742640 = 24534283
BaseRepresentation
bin1010011101100101110000
312011100012021
422131211300
51200231030
6134441224
732212015
oct12354560
95140167
102742640
11160364a
12b03214
13750484
1451570c
1539297a
hex29d970

2742640 has 20 divisors (see below), whose sum is σ = 6376824. Its totient is φ = 1097024.

The previous prime is 2742637. The next prime is 2742647. The reversal of 2742640 is 462472.

2742640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742647) 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 3 ways as a sum of consecutive naturals, for example, 17062 + ... + 17221.

22742640 is an apocalyptic number.

2742640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742640 is an abundant number, since it is smaller than the sum of its proper divisors (3634184).

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

2742640 is a wasteful number, since it uses less digits than its factorization.

2742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34296 (or 34290 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2742640 is about 1656.0917848960. The cubic root of 2742640 is about 139.9768669261.

The spelling of 2742640 in words is "two million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 34283 68566 137132 171415 274264 342830 548528 685660 1371320 2742640