Search a number
-
+
16388361 = 32112101149
BaseRepresentation
bin111110100001…
…000100001001
31010211121121100
4332201010021
513143411421
61343132013
7256204323
oct76410411
933747540
1016388361
119283900
1255a4009
13351a572
142268613
15168ac26
hexfa1109

16388361 has 36 divisors (see below), whose sum is σ = 26453700. Its totient is φ = 9768000.

The previous prime is 16388311. The next prime is 16388377.

16388361 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9418761 + 6969600 = 3069^2 + 2640^2 .

It is not a de Polignac number, because 16388361 - 26 = 16388297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16388311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109915 + ... + 110063.

It is an arithmetic number, because the mean of its divisors is an integer number (734825).

Almost surely, 216388361 is an apocalyptic number.

16388361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16388361 is a deficient number, since it is larger than the sum of its proper divisors (10065339).

16388361 is a wasteful number, since it uses less digits than its factorization.

16388361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16388361 is about 4048.2540681138. The cubic root of 16388361 is about 254.0067010033.

It can be divided in two parts, 1638 and 8361, that added together give a palindrome (9999).

The spelling of 16388361 in words is "sixteen million, three hundred eighty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 99 101 121 149 303 363 447 909 1089 1111 1341 1639 3333 4917 9999 12221 14751 15049 18029 36663 45147 54087 109989 135441 162261 165539 496617 1489851 1820929 5462787 16388361