Search a number
-
+
16946271 = 3219113877
BaseRepresentation
bin100000010100…
…1010001011111
31011212221220200
41000221101133
513314240041
61403114543
7264020016
oct100512137
934787820
1016946271
119624a91
125812a53
1336844a4
142371a7d
15174b1b6
hex102945f

16946271 has 24 divisors (see below), whose sum is σ = 26023920. Its totient is φ = 10596096.

The previous prime is 16946269. The next prime is 16946287. The reversal of 16946271 is 17264961.

It is not a de Polignac number, because 16946271 - 21 = 16946269 is a prime.

It is a super-2 number, since 2×169462712 = 574352201610882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16946201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18885 + ... + 19761.

It is an arithmetic number, because the mean of its divisors is an integer number (1084330).

Almost surely, 216946271 is an apocalyptic number.

16946271 is a deficient number, since it is larger than the sum of its proper divisors (9077649).

16946271 is a wasteful number, since it uses less digits than its factorization.

16946271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1012 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 16946271 is about 4116.5848709823. The cubic root of 16946271 is about 256.8569861451.

The spelling of 16946271 in words is "sixteen million, nine hundred forty-six thousand, two hundred seventy-one".

Divisors: 1 3 9 19 57 113 171 339 877 1017 2147 2631 6441 7893 16663 19323 49989 99101 149967 297303 891909 1882919 5648757 16946271