Search a number
-
+
2837240 = 235710133
BaseRepresentation
bin1010110100101011111000
312100010221222
422310223320
51211242430
6140451212
733054560
oct12645370
95303858
102837240
11166872a
12b49b08
13784553
1453bda0
153b09e5
hex2b4af8

2837240 has 32 divisors (see below), whose sum is σ = 7296480. Its totient is φ = 972672.

The previous prime is 2837239. The next prime is 2837243. The reversal of 2837240 is 427382.

2837240 = T249 + T250 + ... + T318.

2837240 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

2837240 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2837243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4787 + ... + 5346.

It is an arithmetic number, because the mean of its divisors is an integer number (228015).

22837240 is an apocalyptic number.

2837240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2837240 is an abundant number, since it is smaller than the sum of its proper divisors (4459240).

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

2837240 is a wasteful number, since it uses less digits than its factorization.

2837240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10151 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2837240 is about 1684.4108762413. The cubic root of 2837240 is about 141.5680852031.

The spelling of 2837240 in words is "two million, eight hundred thirty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 10133 20266 40532 50665 70931 81064 101330 141862 202660 283724 354655 405320 567448 709310 1418620 2837240