Search a number
-
+
2733040 = 245127269
BaseRepresentation
bin1010011011001111110000
312010212000201
422123033300
51144424130
6134324544
732142022
oct12331760
95125021
102733040
1115a7412
12ab9754
13748cab
14512012
1538ebca
hex29b3f0

2733040 has 40 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 1080576.

The previous prime is 2733011. The next prime is 2733041. The reversal of 2733040 is 403372.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2732999 and 2733017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733041) 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, 10026 + ... + 10294.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

22733040 is an apocalyptic number.

2733040 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 2733040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2733040 is an abundant number, since it is smaller than the sum of its proper divisors (3695120).

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

2733040 is a wasteful number, since it uses less digits than its factorization.

2733040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 2733040 is about 1653.1908540758. The cubic root of 2733040 is about 139.8133567262.

The spelling of 2733040 in words is "two million, seven hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 269 508 538 635 1016 1076 1270 1345 2032 2152 2540 2690 4304 5080 5380 10160 10760 21520 34163 68326 136652 170815 273304 341630 546608 683260 1366520 2733040