Search a number
2108431 = 13792053
BaseRepresentation
bin1000000010110000001111
310222010020001
420002300033
51014432211
6113105131
723631013
oct10026017
93863201
102108431
111210106
128581a7
1358a8c0
143cc543
152b9ac1
hex202c0f

2108431 has 8 divisors (see below), whose sum is σ = 2300480. Its totient is φ = 1920672.

The previous prime is 2108429. The next prime is 2108437. The reversal of 2108431 is 1348012.

It can be divided in two parts, 21084 and 31, that added together give a triangular number (21115 = T205).

2108431 is a nontrivial binomial coefficient, being equal to C(2054, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2108431 - 21 = 2108429 is a prime.

It is a super-2 number, since 2×21084312 = 8890962563522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2108399 and 2108408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 2053.

It is an arithmetic number, because the mean of its divisors is an integer number (287560).

22108431 is an apocalyptic number.

2108431 is the 2053-rd triangular number and also the 1027-th hexagonal number.

2108431 is the 685-th centered nonagonal number.

2108431 is a deficient number, since it is larger than the sum of its proper divisors (192049).

2108431 is a wasteful number, since it uses less digits than its factorization.

2108431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2108431 is about 1452.0437321238. The cubic root of 2108431 is about 128.2290616819.

The spelling of 2108431 in words is "two million, one hundred eight thousand, four hundred thirty-one".

Divisors: 1 13 79 1027 2053 26689 162187 2108431