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2006040450 = 2352235471063
BaseRepresentation
bin111011110010001…
…1011111110000010
312011210201102011110
41313210123332002
513102021243300
6531020224150
7100466030301
oct16744337602
95153642143
102006040450
1193a3a2977
1247b99b056
1325c7b08ab
141505cc438
15bb1a7550
hex7791bf82

2006040450 has 96 divisors (see below), whose sum is σ = 5205666816. Its totient is φ = 510269760.

The previous prime is 2006040401. The next prime is 2006040467. The reversal of 2006040450 is 540406002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886619 + ... + 1887681.

It is an arithmetic number, because the mean of its divisors is an integer number (54225696).

Almost surely, 22006040450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006040450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602833408).

2006040450 is an abundant number, since it is smaller than the sum of its proper divisors (3199626366).

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

2006040450 is a wasteful number, since it uses less digits than its factorization.

2006040450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2006040450 is about 44788.8429187448. The cubic root of 2006040450 is about 1261.1881900846.

Adding to 2006040450 its reverse (540406002), we get a palindrome (2546446452).

The spelling of 2006040450 in words is "two billion, six million, forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 547 575 690 1063 1094 1150 1641 1725 2126 2735 3189 3282 3450 5315 5470 6378 8205 10630 12581 13675 15945 16410 24449 25162 26575 27350 31890 37743 41025 48898 53150 62905 73347 75486 79725 82050 122245 125810 146694 159450 188715 244490 314525 366735 377430 581461 611225 629050 733470 943575 1162922 1222450 1744383 1833675 1887150 2907305 3488766 3667350 5814610 8721915 13373603 14536525 17443830 26747206 29073050 40120809 43609575 66868015 80241618 87219150 133736030 200604045 334340075 401208090 668680150 1003020225 2006040450