Search a number
-
+
15200141 = 112125621
BaseRepresentation
bin111001111110…
…111110001101
31001121020200012
4321332332031
512342401031
61301443005
7243125165
oct71767615
931536605
1015200141
118642100
125110465
1331c2788
1420395a5
151503b2b
hexe7ef8d

15200141 has 6 divisors (see below), whose sum is σ = 16707726. Its totient is φ = 13818200.

The previous prime is 15200083. The next prime is 15200149. The reversal of 15200141 is 14100251.

It can be written as a sum of positive squares in only one way, i.e., 11703241 + 3496900 = 3421^2 + 1870^2 .

It is not a de Polignac number, because 15200141 - 210 = 15199117 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15200149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62690 + ... + 62931.

It is an arithmetic number, because the mean of its divisors is an integer number (2784621).

Almost surely, 215200141 is an apocalyptic number.

15200141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15200141 is a deficient number, since it is larger than the sum of its proper divisors (1507585).

15200141 is a wasteful number, since it uses less digits than its factorization.

15200141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125643 (or 125632 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 15200141 is about 3898.7358207501. The cubic root of 15200141 is about 247.7132318767.

Adding to 15200141 its reverse (14100251), we get a palindrome (29300392).

The spelling of 15200141 in words is "fifteen million, two hundred thousand, one hundred forty-one".

Divisors: 1 11 121 125621 1381831 15200141