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2109393 = 3211213149
BaseRepresentation
bin1000000010111111010001
310222011112200
420002333101
51020000033
6113113413
723633556
oct10027721
93864480
102109393
111210900
12858869
1358b180
143cca2d
152ba013
hex202fd1

2109393 has 36 divisors (see below), whose sum is σ = 3630900. Its totient is φ = 1172160.

The previous prime is 2109391. The next prime is 2109403. The reversal of 2109393 is 3939012.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 1830609 = 528^2 + 1353^2 .

It is not a de Polignac number, because 2109393 - 21 = 2109391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2109391) 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, 14083 + ... + 14231.

22109393 is an apocalyptic number.

It is an amenable number.

2109393 is a deficient number, since it is larger than the sum of its proper divisors (1521507).

2109393 is a wasteful number, since it uses less digits than its factorization.

2109393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 2109393 is about 1452.3749515879. The cubic root of 2109393 is about 128.2485607946.

The spelling of 2109393 in words is "two million, one hundred nine thousand, three hundred ninety-three".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 149 363 429 447 1089 1287 1341 1573 1639 1937 4719 4917 5811 14157 14751 17433 18029 21307 54087 63921 162261 191763 234377 703131 2109393