Search a number
-
+
450011430 = 233511277547
BaseRepresentation
bin11010110100101…
…010000100100110
31011100202221122000
4122310222010212
51410200331210
6112353150130
714103014451
oct3264520446
91140687560
10450011430
11211024280
1210685b346
1372301c6b
1443aa2498
1529791ac0
hex1ad2a126

450011430 has 128 divisors (see below), whose sum is σ = 1316252160. Its totient is φ = 108501120.

The previous prime is 450011351. The next prime is 450011453. The reversal of 450011430 is 34110054.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822417 + ... + 822963.

It is an arithmetic number, because the mean of its divisors is an integer number (10283220).

Almost surely, 2450011430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450011430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658126080).

450011430 is an abundant number, since it is smaller than the sum of its proper divisors (866240730).

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

450011430 is a wasteful number, since it uses less digits than its factorization.

450011430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 450011430 is about 21213.4728415693. The cubic root of 450011430 is about 766.3159204251.

Adding to 450011430 its reverse (34110054), we get a palindrome (484121484).

The spelling of 450011430 in words is "four hundred fifty million, eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 277 297 330 495 547 554 594 831 990 1094 1385 1485 1641 1662 2493 2735 2770 2970 3047 3282 4155 4923 4986 5470 6017 6094 7479 8205 8310 9141 9846 12034 12465 14769 14958 15235 16410 18051 18282 24615 24930 27423 29538 30085 30470 36102 37395 45705 49230 54153 54846 60170 73845 74790 82269 90255 91410 108306 137115 147690 151519 162459 164538 180510 270765 274230 303038 324918 411345 454557 541530 757595 812295 822690 909114 1363671 1515190 1624590 1666709 2272785 2727342 3333418 4091013 4545570 5000127 6818355 8182026 8333545 10000254 13636710 15000381 16667090 20455065 25000635 30000762 40910130 45001143 50001270 75001905 90002286 150003810 225005715 450011430