Search a number
-
+
5801440 = 255101359
BaseRepresentation
bin10110001000010111100000
3101220202002011
4112020113200
52441121230
6324202304
7100211551
oct26102740
911822064
105801440
113302787
121b39394
131281808
14ab0328
15798e2a
hex5885e0

5801440 has 48 divisors (see below), whose sum is σ = 13880160. Its totient is φ = 2291200.

The previous prime is 5801429. The next prime is 5801449. The reversal of 5801440 is 441085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801449) 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, 15981 + ... + 16339.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 25801440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080).

5801440 is an abundant number, since it is smaller than the sum of its proper divisors (8078720).

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

5801440 is a wasteful number, since it uses less digits than its factorization.

5801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 5801440 is about 2408.6178609319. The cubic root of 5801440 is about 179.6850459400.

It can be divided in two parts, 5801 and 440, that added together give a square (6241 = 792).

The spelling of 5801440 in words is "five million, eight hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 359 404 505 718 808 1010 1436 1616 1795 2020 2872 3232 3590 4040 5744 7180 8080 11488 14360 16160 28720 36259 57440 72518 145036 181295 290072 362590 580144 725180 1160288 1450360 2900720 5801440