Search a number
-
+
1361808 = 243272193
BaseRepresentation
bin101001100011110010000
32120012001100
411030132100
5322034213
645104400
714401200
oct5143620
92505040
101361808
11850168
12558100
13388b06
14276400
151bd773
hex14c790

1361808 has 90 divisors (see below), whose sum is σ = 4456374. Its totient is φ = 387072.

The previous prime is 1361803. The next prime is 1361809. The reversal of 1361808 is 8081631.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 345744 = 1008^2 + 588^2 .

It is not an unprimeable number, because it can be changed into a prime (1361803) 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, 6960 + ... + 7152.

21361808 is an apocalyptic number.

1361808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228187).

1361808 is an abundant number, since it is smaller than the sum of its proper divisors (3094566).

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

1361808 is a wasteful number, since it uses less digits than its factorization.

1361808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1361808 is about 1166.9652951138. The cubic root of 1361808 is about 110.8422399737.

The spelling of 1361808 in words is "one million, three hundred sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 193 196 252 294 336 386 392 441 504 579 588 772 784 882 1008 1158 1176 1351 1544 1737 1764 2316 2352 2702 3088 3474 3528 4053 4632 5404 6948 7056 8106 9264 9457 10808 12159 13896 16212 18914 21616 24318 27792 28371 32424 37828 48636 56742 64848 75656 85113 97272 113484 151312 170226 194544 226968 340452 453936 680904 1361808