Search a number
-
+
6097730420 = 2251929192
BaseRepresentation
bin1011010110111001…
…11111101101110100
3120201221221210121102
411223130333231310
544442004333140
62445023305232
7304051565465
oct55334775564
916657853542
106097730420
11264a012131
12122214b218
137623c6512
1441bbacd6c
1525a4dee15
hex16b73fb74

6097730420 has 54 divisors (see below), whose sum is σ = 13529386962. Its totient is φ = 2308204512.

The previous prime is 6097730413. The next prime is 6097730423. The reversal of 6097730420 is 240377906.

It can be written as a sum of positive squares in only one way, i.e., 4878184336 + 1219546084 = 69844^2 + 34922^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6097730423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6634721 + ... + 6635639.

It is an arithmetic number, because the mean of its divisors is an integer number (250544203).

Almost surely, 26097730420 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 6097730420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764693481).

6097730420 is an abundant number, since it is smaller than the sum of its proper divisors (7431656542).

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

6097730420 is an equidigital number, since it uses as much as digits as its factorization.

6097730420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 6097730420 is about 78087.9659102477. The cubic root of 6097730420 is about 1826.9335029559.

The spelling of 6097730420 in words is "six billion, ninety-seven million, seven hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 919 1444 1805 1838 3610 3676 4595 7220 9190 17461 18380 34922 69844 87305 174610 331759 349220 663518 844561 1327036 1658795 1689122 3317590 3378244 4222805 6635180 8445610 16046659 16891220 32093318 64186636 80233295 160466590 304886521 320933180 609773042 1219546084 1524432605 3048865210 6097730420