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6830272 = 261941137
BaseRepresentation
bin11010000011100011000000
3110212000101001
4122003203000
53222032042
6402221344
7112025221
oct32034300
913760331
106830272
113945759
122354854
131551ba7
14c9b248
158edbb7
hex6838c0

6830272 has 56 divisors (see below), whose sum is σ = 14721840. Its totient is φ = 3133440.

The previous prime is 6830251. The next prime is 6830273. The reversal of 6830272 is 2720386.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6830272.

It is not an unprimeable number, because it can be changed into a prime (6830273) 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, 49788 + ... + 49924.

It is an arithmetic number, because the mean of its divisors is an integer number (262890).

Almost surely, 26830272 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 6830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360920).

6830272 is an abundant number, since it is smaller than the sum of its proper divisors (7891568).

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

6830272 is a wasteful number, since it uses less digits than its factorization.

6830272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6830272 is about 2613.4789075101. The cubic root of 6830272 is about 189.7343656383.

The spelling of 6830272 in words is "six million, eight hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 137 152 164 274 304 328 548 608 656 779 1096 1216 1312 1558 2192 2603 2624 3116 4384 5206 5617 6232 8768 10412 11234 12464 20824 22468 24928 41648 44936 49856 83296 89872 106723 166592 179744 213446 359488 426892 853784 1707568 3415136 6830272