Search a number
-
+
6041360 = 2451337157
BaseRepresentation
bin10111000010111100010000
3102100221012002
4113002330100
53021310420
6333253132
7102231203
oct27027420
912327162
106041360
113456a66
1220341a8
131336a90
14b3393a
157e5075
hex5c2f10

6041360 has 80 divisors (see below), whose sum is σ = 15634416. Its totient is φ = 2156544.

The previous prime is 6041353. The next prime is 6041363. The reversal of 6041360 is 631406.

It can be written as a sum of positive squares in 8 ways, for example, as 126736 + 5914624 = 356^2 + 2432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6041363) 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, 38402 + ... + 38558.

Almost surely, 26041360 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 6041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817208).

6041360 is an abundant number, since it is smaller than the sum of its proper divisors (9593056).

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

6041360 is a wasteful number, since it uses less digits than its factorization.

6041360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 6041360 is about 2457.9178179915. The cubic root of 6041360 is about 182.1286374721.

Adding to 6041360 its reverse (631406), we get a palindrome (6672766).

The spelling of 6041360 in words is "six million, forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 157 185 208 260 296 314 370 481 520 592 628 740 785 962 1040 1256 1480 1570 1924 2041 2405 2512 2960 3140 3848 4082 4810 5809 6280 7696 8164 9620 10205 11618 12560 16328 19240 20410 23236 29045 32656 38480 40820 46472 58090 75517 81640 92944 116180 151034 163280 232360 302068 377585 464720 604136 755170 1208272 1510340 3020680 6041360