Search a number
-
+
10200359 = 131961677
BaseRepresentation
bin100110111010…
…010100100111
3201012020021002
4212322110213
510102402414
61002343515
7152462441
oct46722447
921166232
1010200359
115837754
1234bab9b
132161b20
1414d7491
15d674de
hex9ba527

10200359 has 16 divisors (see below), whose sum is σ = 11770080. Its totient is φ = 8760960.

The previous prime is 10200343. The next prime is 10200361. The reversal of 10200359 is 95300201.

It is not a de Polignac number, because 10200359 - 24 = 10200343 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10200359.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14729 + ... + 15405.

It is an arithmetic number, because the mean of its divisors is an integer number (735630).

Almost surely, 210200359 is an apocalyptic number.

10200359 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10200359 is a deficient number, since it is larger than the sum of its proper divisors (1569721).

10200359 is a wasteful number, since it uses less digits than its factorization.

10200359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 10200359 is about 3193.8000876699. The cubic root of 10200359 is about 216.8728328231.

The spelling of 10200359 in words is "ten million, two hundred thousand, three hundred fifty-nine".

Divisors: 1 13 19 61 247 677 793 1159 8801 12863 15067 41297 167219 536861 784643 10200359