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2005175034 = 23337132871
BaseRepresentation
bin111011110000100…
…1000101011111010
312011202002110001000
41313201020223322
513101311100114
6530545505430
7100455464232
oct16741105372
95152073030
102005175034
11939961755
1247b642276
1325c569a05
14150444cc2
15bb085e09
hex77848afa

2005175034 has 16 divisors (see below), whose sum is σ = 4455944640. Its totient is φ = 668391660.

The previous prime is 2005175033. The next prime is 2005175071. The reversal of 2005175034 is 4305715002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2005174989 and 2005175007.

It is not an unprimeable number, because it can be changed into a prime (2005175033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18566382 + ... + 18566489.

It is an arithmetic number, because the mean of its divisors is an integer number (278496540).

Almost surely, 22005175034 is an apocalyptic number.

2005175034 is an abundant number, since it is smaller than the sum of its proper divisors (2450769606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005175034 is a wasteful number, since it uses less digits than its factorization.

2005175034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37132882 (or 37132876 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2005175034 is about 44779.1808098362. The cubic root of 2005175034 is about 1261.0068030095.

The spelling of 2005175034 in words is "two billion, five million, one hundred seventy-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 37132871 74265742 111398613 222797226 334195839 668391678 1002587517 2005175034