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2741080 = 2351729139
BaseRepresentation
bin1010011101001101011000
312011021001111
422131031120
51200203310
6134430104
732204326
oct12351530
95137044
102741080
111602461
12b02334
1374c854
14514d16
1539228a
hex29d358

2741080 has 64 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 989184.

The previous prime is 2741059. The next prime is 2741083. The reversal of 2741080 is 801472.

2741080 = T125 + T126 + ... + T263.

2741080 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 (2741083) 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, 19651 + ... + 19789.

22741080 is an apocalyptic number.

2741080 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 2741080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

2741080 is an abundant number, since it is smaller than the sum of its proper divisors (4062920).

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

2741080 is a wasteful number, since it uses less digits than its factorization.

2741080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2741080 is about 1655.6207295151. The cubic root of 2741080 is about 139.9503225106.

The spelling of 2741080 in words is "two million, seven hundred forty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 139 145 170 232 278 290 340 493 556 580 680 695 986 1112 1160 1390 1972 2363 2465 2780 3944 4031 4726 4930 5560 8062 9452 9860 11815 16124 18904 19720 20155 23630 32248 40310 47260 68527 80620 94520 137054 161240 274108 342635 548216 685270 1370540 2741080