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2105937 = 32233993
BaseRepresentation
bin1000000010001001010001
310221222210200
420002021101
51014342222
6113045413
723620521
oct10021121
93858720
102105937
111209249
12856869
13589722
143cb681
152b8eac
hex202251

2105937 has 6 divisors (see below), whose sum is σ = 3041922. Its totient is φ = 1403952.

The previous prime is 2105933. The next prime is 2105947. The reversal of 2105937 is 7395012.

It can be written as a sum of positive squares in only one way, i.e., 1252161 + 853776 = 1119^2 + 924^2 .

It is not a de Polignac number, because 2105937 - 22 = 2105933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2105937.

It is not an unprimeable number, because it can be changed into a prime (2105933) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116988 + ... + 117005.

It is an arithmetic number, because the mean of its divisors is an integer number (506987).

22105937 is an apocalyptic number.

It is an amenable number.

2105937 is a deficient number, since it is larger than the sum of its proper divisors (935985).

2105937 is a wasteful number, since it uses less digits than its factorization.

2105937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233999 (or 233996 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2105937 is about 1451.1846884529. The cubic root of 2105937 is about 128.1784822924.

The spelling of 2105937 in words is "two million, one hundred five thousand, nine hundred thirty-seven".

Divisors: 1 3 9 233993 701979 2105937