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2731040 = 255132101
BaseRepresentation
bin1010011010110000100000
312010202021122
422122300200
51144343130
6134311412
732133134
oct12326040
95122248
102731040
1115a5964
12ab8568
13748100
145113c4
1538e2e5
hex29ac20

2731040 has 72 divisors (see below), whose sum is σ = 7055748. Its totient is φ = 998400.

The previous prime is 2731013. The next prime is 2731049. The reversal of 2731040 is 401372.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 913936 + 1817104 = 956^2 + 1348^2 .

It is not an unprimeable number, because it can be changed into a prime (2731049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26990 + ... + 27090.

22731040 is an apocalyptic number.

2731040 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 2731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527874).

2731040 is an abundant number, since it is smaller than the sum of its proper divisors (4324708).

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

2731040 is a wasteful number, since it uses less digits than its factorization.

2731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2731040 is about 1652.5858525354. The cubic root of 2731040 is about 139.7792439251.

The spelling of 2731040 in words is "two million, seven hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 101 104 130 160 169 202 208 260 338 404 416 505 520 676 808 845 1010 1040 1313 1352 1616 1690 2020 2080 2626 2704 3232 3380 4040 5252 5408 6565 6760 8080 10504 13130 13520 16160 17069 21008 26260 27040 34138 42016 52520 68276 85345 105040 136552 170690 210080 273104 341380 546208 682760 1365520 2731040