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2105037 = 321121933
BaseRepresentation
bin1000000001111011001101
310221221120100
420001323031
51014330122
6113041313
723615064
oct10017315
93857510
102105037
111208600
12856239
135891ac
143cb1db
152b8aac
hex201ecd

2105037 has 18 divisors (see below), whose sum is σ = 3343886. Its totient is φ = 1275120.

The previous prime is 2105027. The next prime is 2105069. The reversal of 2105037 is 7305012.

It can be written as a sum of positive squares in only one way, i.e., 1920996 + 184041 = 1386^2 + 429^2 .

It is not a de Polignac number, because 2105037 - 27 = 2104909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105027) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123 + ... + 2055.

22105037 is an apocalyptic number.

It is an amenable number.

2105037 is a deficient number, since it is larger than the sum of its proper divisors (1238849).

2105037 is a wasteful number, since it uses less digits than its factorization.

2105037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2105037 is about 1450.8745638407. The cubic root of 2105037 is about 128.1602201014.

The spelling of 2105037 in words is "two million, one hundred five thousand, thirty-seven".

Divisors: 1 3 9 11 33 99 121 363 1089 1933 5799 17397 21263 63789 191367 233893 701679 2105037