Search a number
-
+
13804100 = 2252138041
BaseRepresentation
bin110100101010…
…001001000100
3221222022122222
4310222021010
512013212400
61211511512
7225222122
oct64521104
927868588
1013804100
117879252
124758598
132b2420b
141b94912
15132a185
hexd2a244

13804100 has 18 divisors (see below), whose sum is σ = 29955114. Its totient is φ = 5521600.

The previous prime is 13804079. The next prime is 13804103. The reversal of 13804100 is 140831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4268356 + 9535744 = 2066^2 + 3088^2 .

It is not an unprimeable number, because it can be changed into a prime (13804103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68921 + ... + 69120.

It is an arithmetic number, because the mean of its divisors is an integer number (1664173).

Almost surely, 213804100 is an apocalyptic number.

13804100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13804100 is an abundant number, since it is smaller than the sum of its proper divisors (16151014).

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

13804100 is a wasteful number, since it uses less digits than its factorization.

13804100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138055 (or 138048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 13804100 is about 3715.3869246688. The cubic root of 13804100 is about 239.8847826592.

Adding to 13804100 its reverse (140831), we get a palindrome (13944931).

The spelling of 13804100 in words is "thirteen million, eight hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 138041 276082 552164 690205 1380410 2760820 3451025 6902050 13804100