Search a number
-
+
2613040 = 24589367
BaseRepresentation
bin1001111101111100110000
311220202102021
421331330300
51132104130
6132001224
731132123
oct11757460
94822367
102613040
111525241
12a60214
137064a1
144c03ba
1536937a
hex27df30

2613040 has 40 divisors (see below), whose sum is σ = 6160320. Its totient is φ = 1030656.

The previous prime is 2613029. The next prime is 2613041. The reversal of 2613040 is 403162.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2613041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6937 + ... + 7303.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

22613040 is an apocalyptic number.

2613040 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 2613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080160).

2613040 is an abundant number, since it is smaller than the sum of its proper divisors (3547280).

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

2613040 is a wasteful number, since it uses less digits than its factorization.

2613040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2613040 is about 1616.4900247140. The cubic root of 2613040 is about 137.7363867650.

The spelling of 2613040 in words is "two million, six hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 367 445 712 734 890 1424 1468 1780 1835 2936 3560 3670 5872 7120 7340 14680 29360 32663 65326 130652 163315 261304 326630 522608 653260 1306520 2613040