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2072161 = 72133253
BaseRepresentation
bin111111001111001100001
310220021110201
413321321201
51012302121
6112225201
723420200
oct7717141
93807421
102072161
111195933
1283b201
13577240
143bd237
152ade91
hex1f9e61

2072161 has 12 divisors (see below), whose sum is σ = 2596692. Its totient is φ = 1639008.

The previous prime is 2072153. The next prime is 2072179. The reversal of 2072161 is 1612702.

It can be written as a sum of positive squares in 2 ways, for example, as 1366561 + 705600 = 1169^2 + 840^2 .

It is not a de Polignac number, because 2072161 - 23 = 2072153 is a prime.

It is the 1440-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (2072101) by changing a digit.

It is a nontrivial repunit in base 1439.

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 11 ways as a sum of consecutive naturals, for example, 990 + ... + 2263.

It is an arithmetic number, because the mean of its divisors is an integer number (216391).

22072161 is an apocalyptic number.

It is an amenable number.

2072161 is a deficient number, since it is larger than the sum of its proper divisors (524531).

2072161 is a wasteful number, since it uses less digits than its factorization.

2072161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2072161 is about 1439.5002605071. The cubic root of 2072161 is about 127.4895236811.

Adding to 2072161 its reverse (1612702), we get a palindrome (3684863).

The spelling of 2072161 in words is "two million, seventy-two thousand, one hundred sixty-one".

Divisors: 1 7 13 49 91 637 3253 22771 42289 159397 296023 2072161