Search a number
-
+
2004134132 = 2271121345503
BaseRepresentation
bin111011101110100…
…1010100011110100
312011200010120012002
41313131022203310
513101024243012
6530511314432
7100443600440
oct16735124364
95150116162
102004134132
11939310700
1247b21ba18
1325c293cb0
14150253820
15bae2c7c2
hex7774a8f4

2004134132 has 72 divisors (see below), whose sum is σ = 4744793088. Its totient is φ = 720751680.

The previous prime is 2004134123. The next prime is 2004134137. The reversal of 2004134132 is 2314314002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004134137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21293 + ... + 66795.

It is an arithmetic number, because the mean of its divisors is an integer number (65899904).

Almost surely, 22004134132 is an apocalyptic number.

2004134132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372396544).

2004134132 is an abundant number, since it is smaller than the sum of its proper divisors (2740658956).

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

2004134132 is a wasteful number, since it uses less digits than its factorization.

2004134132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45549 (or 45536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2004134132 is about 44767.5566900853. The cubic root of 2004134132 is about 1260.7885657533.

Adding to 2004134132 its reverse (2314314002), we get a palindrome (4318448134).

The spelling of 2004134132 in words is "two billion, four million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 6292 11011 22022 44044 45503 91006 182012 318521 500533 591539 637042 1001066 1183078 1274084 2002132 2366156 3503731 4140773 5505863 6506929 7007462 8281546 11011726 13013858 14014924 16563092 22023452 26027716 38541041 45548503 71576219 77082082 91097006 143152438 154164164 182194012 286304876 501033533 1002067066 2004134132