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2741140 = 2252359101
BaseRepresentation
bin1010011101001110010100
312011021010201
422131032110
51200204030
6134430244
732204443
oct12351624
95137121
102741140
111602506
12b02384
1374c89c
14514d5a
153922ca
hex29d394

2741140 has 48 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 1020800.

The previous prime is 2741119. The next prime is 2741143. The reversal of 2741140 is 411472.

2741140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741143) 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 15 ways as a sum of consecutive naturals, for example, 27090 + ... + 27190.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

22741140 is an apocalyptic number.

2741140 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 2741140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2741140 is an abundant number, since it is smaller than the sum of its proper divisors (3427820).

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

2741140 is a wasteful number, since it uses less digits than its factorization.

2741140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 2741140 is about 1655.6388495079. The cubic root of 2741140 is about 139.9513436359.

The spelling of 2741140 in words is "two million, seven hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 92 101 115 118 202 230 236 295 404 460 505 590 1010 1180 1357 2020 2323 2714 4646 5428 5959 6785 9292 11615 11918 13570 23230 23836 27140 29795 46460 59590 119180 137057 274114 548228 685285 1370570 2741140