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2130961 = 72157277
BaseRepresentation
bin1000001000010000010001
311000021010111
420020100101
51021142321
6113401321
724053500
oct10102021
94007114
102130961
111226028
12869241
13597c31
143d6837
152c15e1
hex208411

2130961 has 12 divisors (see below), whose sum is σ = 2503668. Its totient is φ = 1808352.

The previous prime is 2130959. The next prime is 2130979. The reversal of 2130961 is 1690312.

It can be written as a sum of positive squares in 2 ways, for example, as 490000 + 1640961 = 700^2 + 1281^2 .

It is not a de Polignac number, because 2130961 - 21 = 2130959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2130901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7555 + ... + 7831.

It is an arithmetic number, because the mean of its divisors is an integer number (208639).

22130961 is an apocalyptic number.

It is an amenable number.

2130961 is a deficient number, since it is larger than the sum of its proper divisors (372707).

2130961 is a wasteful number, since it uses less digits than its factorization.

2130961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2130961 is about 1459.7811479808. The cubic root of 2130961 is about 128.6841822766.

The spelling of 2130961 in words is "two million, one hundred thirty thousand, nine hundred sixty-one".

Divisors: 1 7 49 157 277 1099 1939 7693 13573 43489 304423 2130961