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2740712 = 231319273
BaseRepresentation
bin1010011101000111101000
312011020112212
422131013220
51200200322
6134424252
732203262
oct12350750
95136485
102740712
111602157
12b02088
1374c630
14514b32
153920e2
hex29d1e8

2740712 has 48 divisors (see below), whose sum is σ = 5920740. Its totient is φ = 1181952.

The previous prime is 2740667. The next prime is 2740721. The reversal of 2740712 is 2170472.

2740712 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 2 ways, for example, as 2669956 + 70756 = 1634^2 + 266^2 .

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, 37508 + ... + 37580.

22740712 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 2740712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960370).

2740712 is an abundant number, since it is smaller than the sum of its proper divisors (3180028).

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

2740712 is a wasteful number, since it uses less digits than its factorization.

2740712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 2740712 is about 1655.5095892202. The cubic root of 2740712 is about 139.9440592830.

The spelling of 2740712 in words is "two million, seven hundred forty thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 73 76 104 146 152 247 292 361 494 584 722 949 988 1387 1444 1898 1976 2774 2888 3796 4693 5548 7592 9386 11096 18031 18772 26353 36062 37544 52706 72124 105412 144248 210824 342589 685178 1370356 2740712