Search a number
-
+
2591440 = 245291117
BaseRepresentation
bin1001111000101011010000
311212122210021
421320223100
51130411230
6131313224
731012135
oct11705320
94778707
102591440
11150aa95
12a4b814
136c96c7
144b658c
15362c7a
hex278ad0

2591440 has 40 divisors (see below), whose sum is σ = 6238440. Its totient is φ = 999936.

The previous prime is 2591419. The next prime is 2591441. The reversal of 2591440 is 441952.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 2585664 = 76^2 + 1608^2 .

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

It is a super-2 number, since 2×25914402 = 13431122547200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591441) 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, 1762 + ... + 2878.

It is an arithmetic number, because the mean of its divisors is an integer number (155961).

22591440 is an apocalyptic number.

2591440 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 2591440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119220).

2591440 is an abundant number, since it is smaller than the sum of its proper divisors (3647000).

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

2591440 is a wasteful number, since it uses less digits than its factorization.

2591440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2591440 is about 1609.7950180070. The cubic root of 2591440 is about 137.3558158017.

The spelling of 2591440 in words is "two million, five hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1117 1160 2234 2320 4468 5585 8936 11170 17872 22340 32393 44680 64786 89360 129572 161965 259144 323930 518288 647860 1295720 2591440