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4104180 = 223251512
BaseRepresentation
bin1111101001111111110100
321201111212200
433221333310
52022313210
6223544500
746612353
oct17517764
97644780
104104180
112353593
12145b130
13b09112
1478b99a
155610c0
hex3e9ff4

4104180 has 54 divisors (see below), whose sum is σ = 12532338. Its totient is φ = 1087200.

The previous prime is 4104169. The next prime is 4104187. The reversal of 4104180 is 814014.

It can be written as a sum of positive squares in only one way, i.e., 3283344 + 820836 = 1812^2 + 906^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104187) 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, 27105 + ... + 27255.

Almost surely, 24104180 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 4104180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266169).

4104180 is an abundant number, since it is smaller than the sum of its proper divisors (8428158).

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

4104180 is a wasteful number, since it uses less digits than its factorization.

4104180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4104180 is about 2025.8775876148. The cubic root of 4104180 is about 160.1064395923.

Adding to 4104180 its reverse (814014), we get a palindrome (4918194).

It can be divided in two parts, 4104 and 180, that multiplied together give a triangular number (738720 = T1215).

The spelling of 4104180 in words is "four million, one hundred four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 5436 6795 9060 13590 22801 27180 45602 68403 91204 114005 136806 205209 228010 273612 342015 410418 456020 684030 820836 1026045 1368060 2052090 4104180