Search a number
-
+
2004132132 = 223443971483
BaseRepresentation
bin111011101110100…
…1010000100100100
312011200010110110000
41313131022010210
513101024212012
6530511301300
7100443561552
oct16735120444
95150113400
102004132132
1193930a152
1247b21a830
1325c293102
14150252bd2
15bae2bddc
hex7774a124

2004132132 has 120 divisors (see below), whose sum is σ = 5419959776. Its totient is φ = 645345792.

The previous prime is 2004132083. The next prime is 2004132139. The reversal of 2004132132 is 2312314002.

2004132132 is a `hidden beast` number, since 200 + 413 + 21 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2004132139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1350663 + ... + 1352145.

Almost surely, 22004132132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709979888).

2004132132 is an abundant number, since it is smaller than the sum of its proper divisors (3415827644).

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

2004132132 is a wasteful number, since it uses less digits than its factorization.

2004132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2004132132 is about 44767.5343524747. The cubic root of 2004132132 is about 1260.7881463572.

Adding to 2004132132 its reverse (2312314002), we get a palindrome (4316446134).

The spelling of 2004132132 in words is "two billion, four million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 97 108 129 162 172 194 258 291 324 387 388 516 582 774 873 1161 1164 1483 1548 1746 2322 2619 2966 3483 3492 4171 4449 4644 5238 5932 6966 7857 8342 8898 10476 12513 13347 13932 15714 16684 17796 25026 26694 31428 37539 40041 50052 53388 63769 75078 80082 112617 120123 127538 143851 150156 160164 191307 225234 240246 255076 287702 337851 382614 431553 450468 480492 573921 575404 675702 765228 863106 1147842 1294659 1351404 1721763 1726212 2295684 2589318 3443526 3883977 5165289 5178636 6185593 6887052 7767954 10330578 11651931 12371186 15535908 18556779 20661156 23303862 24742372 37113558 46607724 55670337 74227116 111340674 167011011 222681348 334022022 501033033 668044044 1002066066 2004132132