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6341920 = 255133049
BaseRepresentation
bin11000001100010100100000
3102221012110221
4120030110200
53110420140
6343532424
7104622364
oct30142440
912835427
106341920
113641862
12215a114
131410820
14bb12a4
1585414a
hex60c520

6341920 has 48 divisors (see below), whose sum is σ = 16140600. Its totient is φ = 2340864.

The previous prime is 6341903. The next prime is 6341939. The reversal of 6341920 is 291436.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 3794704 = 1596^2 + 1948^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556 + ... + 3604.

Almost surely, 26341920 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 6341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070300).

6341920 is an abundant number, since it is smaller than the sum of its proper divisors (9798680).

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

6341920 is a wasteful number, since it uses less digits than its factorization.

6341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 6341920 is about 2518.3168982477. The cubic root of 6341920 is about 185.1002135404.

The spelling of 6341920 in words is "six million, three hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 3049 6098 12196 15245 24392 30490 39637 48784 60980 79274 97568 121960 158548 198185 243920 317096 396370 487840 634192 792740 1268384 1585480 3170960 6341920