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5358340 = 2251337557
BaseRepresentation
bin10100011100001100000100
3101002020021001
4110130030010
52332431330
6310503044
763354661
oct24341404
911066231
105358340
11302a889
121964a84
131157c20
149d6a68
1570c9ca
hex51c304

5358340 has 48 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 1921536.

The previous prime is 5358317. The next prime is 5358341. The reversal of 5358340 is 438535.

It can be written as a sum of positive squares in 8 ways, for example, as 412164 + 4946176 = 642^2 + 2224^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5358299 and 5358308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5358341) 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, 9342 + ... + 9898.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 25358340 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 5358340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

5358340 is an abundant number, since it is smaller than the sum of its proper divisors (7109612).

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

5358340 is a wasteful number, since it uses less digits than its factorization.

5358340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5358340 is about 2314.8088473997. The cubic root of 5358340 is about 174.9887339686.

The spelling of 5358340 in words is "five million, three hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 557 740 962 1114 1924 2228 2405 2785 4810 5570 7241 9620 11140 14482 20609 28964 36205 41218 72410 82436 103045 144820 206090 267917 412180 535834 1071668 1339585 2679170 5358340