Search a number
-
+
6838260 = 22351113797
BaseRepresentation
bin11010000101011111110100
3110212102022220
4122011133310
53222311020
6402322340
7112060422
oct32053764
913772286
106838260
113950760
1223593b0
131555710
14ca0112
15901240
hex6857f4

6838260 has 96 divisors (see below), whose sum is σ = 22522752. Its totient is φ = 1528320.

The previous prime is 6838241. The next prime is 6838261. The reversal of 6838260 is 628386.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6838261) 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 31 ways as a sum of consecutive naturals, for example, 8182 + ... + 8978.

It is an arithmetic number, because the mean of its divisors is an integer number (234612).

Almost surely, 26838260 is an apocalyptic number.

6838260 is a gapful number since it is divisible by the number (60) 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 6838260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376).

6838260 is an abundant number, since it is smaller than the sum of its proper divisors (15684492).

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

6838260 is a wasteful number, since it uses less digits than its factorization.

6838260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6838260 is about 2615.0066921520. The cubic root of 6838260 is about 189.8083015745.

The spelling of 6838260 in words is "six million, eight hundred thirty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 797 858 1430 1594 1716 2145 2391 2860 3188 3985 4290 4782 7970 8580 8767 9564 10361 11955 15940 17534 20722 23910 26301 31083 35068 41444 43835 47820 51805 52602 62166 87670 103610 105204 113971 124332 131505 155415 175340 207220 227942 263010 310830 341913 455884 526020 569855 621660 683826 1139710 1367652 1709565 2279420 3419130 6838260