Search a number
-
+
16261146 = 23211174831
BaseRepresentation
bin111110000010…
…000000011010
31010121011002200
4332002000122
513130324041
61340311030
7255134406
oct76020032
933534080
1016261146
1191a7270
125542476
1334a46a5
142234106
1516631b6
hexf8201a

16261146 has 48 divisors (see below), whose sum is σ = 40704768. Its totient is φ = 4636800.

The previous prime is 16261139. The next prime is 16261151. The reversal of 16261146 is 64116261.

16261146 is a `hidden beast` number, since 1 + 6 + 2 + 611 + 46 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (848016).

Almost surely, 216261146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16261146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20352384).

16261146 is an abundant number, since it is smaller than the sum of its proper divisors (24443622).

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

16261146 is a wasteful number, since it uses less digits than its factorization.

16261146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4864 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 16261146 is about 4032.5111283169. The cubic root of 16261146 is about 253.3477488719.

It can be divided in two parts, 1626 and 1146, that added together give a palindrome (2772).

The spelling of 16261146 in words is "sixteen million, two hundred sixty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 4831 9662 14493 28986 43479 53141 82127 86958 106282 159423 164254 246381 318846 478269 492762 739143 903397 956538 1478286 1806794 2710191 5420382 8130573 16261146