Search a number
-
+
423024640 = 2115109379
BaseRepresentation
bin11001001101101…
…101100000000000
31002110222212201021
4121031231200000
51331243242030
6105550515224
713324435663
oct3115554000
91073885637
10423024640
111a7871745
12b9805b14
136984364c
14402796da
152721097a
hex1936d800

423024640 has 96 divisors (see below), whose sum is σ = 1027026000. Its totient is φ = 167215104.

The previous prime is 423024629. The next prime is 423024643. The reversal of 423024640 is 46420324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423024643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115971 + ... + 1116349.

Almost surely, 2423024640 is an apocalyptic number.

423024640 is a gapful number since it is divisible by the number (40) 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 423024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513513000).

423024640 is an abundant number, since it is smaller than the sum of its proper divisors (604001360).

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

423024640 is a wasteful number, since it uses less digits than its factorization.

423024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 423024640 is about 20567.5628113785. The cubic root of 423024640 is about 750.6806502483.

Adding to 423024640 its reverse (46420324), we get a palindrome (469444964).

The spelling of 423024640 in words is "four hundred twenty-three million, twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 379 436 512 545 640 758 872 1024 1090 1280 1516 1744 1895 2048 2180 2560 3032 3488 3790 4360 5120 6064 6976 7580 8720 10240 12128 13952 15160 17440 24256 27904 30320 34880 41311 48512 55808 60640 69760 82622 97024 111616 121280 139520 165244 194048 206555 223232 242560 279040 330488 388096 413110 485120 558080 660976 776192 826220 970240 1116160 1321952 1652440 1940480 2643904 3304880 3880960 5287808 6609760 10575616 13219520 21151232 26439040 42302464 52878080 84604928 105756160 211512320 423024640