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2836080 = 2433513101
BaseRepresentation
bin1010110100011001110000
312100002101000
422310121300
51211223310
6140442000
733051312
oct12643160
95302330
102836080
111667875
12b49300
13783b70
1453b7b2
153b04c0
hex2b4670

2836080 has 160 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 691200.

The previous prime is 2836079. The next prime is 2836081. The reversal of 2836080 is 806382.

It is an interprime number because it is at equal distance from previous prime (2836079) and next prime (2836081).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2836081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28030 + ... + 28130.

It is an arithmetic number, because the mean of its divisors is an integer number (66402).

22836080 is an apocalyptic number.

2836080 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 2836080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

2836080 is an abundant number, since it is smaller than the sum of its proper divisors (7788240).

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

2836080 is a wasteful number, since it uses less digits than its factorization.

2836080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2836080 is about 1684.0665070002. The cubic root of 2836080 is about 141.5487892953.

The spelling of 2836080 in words is "two million, eight hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 101 104 108 117 120 130 135 144 156 180 195 202 208 216 234 240 260 270 303 312 351 360 390 404 432 468 505 520 540 585 606 624 702 720 780 808 909 936 1010 1040 1080 1170 1212 1313 1404 1515 1560 1616 1755 1818 1872 2020 2160 2340 2424 2626 2727 2808 3030 3120 3510 3636 3939 4040 4545 4680 4848 5252 5454 5616 6060 6565 7020 7272 7878 8080 9090 9360 10504 10908 11817 12120 13130 13635 14040 14544 15756 18180 19695 21008 21816 23634 24240 26260 27270 28080 31512 35451 36360 39390 43632 47268 52520 54540 59085 63024 70902 72720 78780 94536 105040 109080 118170 141804 157560 177255 189072 218160 236340 283608 315120 354510 472680 567216 709020 945360 1418040 2836080