Search a number
-
+
5306840 = 2357111723
BaseRepresentation
bin10100001111100111011000
3100222121121122
4110033213120
52324304330
6305424412
763051560
oct24174730
910877548
105306840
112aa5120
12193b108
13113a656
149c1da0
156ec5e5
hex50f9d8

5306840 has 64 divisors (see below), whose sum is σ = 14895360. Its totient is φ = 1653120.

The previous prime is 5306827. The next prime is 5306849. The reversal of 5306840 is 486035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2219 + ... + 3941.

It is an arithmetic number, because the mean of its divisors is an integer number (232740).

Almost surely, 25306840 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 5306840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447680).

5306840 is an abundant number, since it is smaller than the sum of its proper divisors (9588520).

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

5306840 is a wasteful number, since it uses less digits than its factorization.

5306840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5306840 is about 2303.6579607225. The cubic root of 5306840 is about 174.4263118565.

The spelling of 5306840 in words is "five million, three hundred six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 1723 3080 3446 6892 8615 12061 13784 17230 18953 24122 34460 37906 48244 60305 68920 75812 94765 96488 120610 132671 151624 189530 241220 265342 379060 482440 530684 663355 758120 1061368 1326710 2653420 5306840