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2423120432 = 241734725673
BaseRepresentation
bin1001000001101101…
…1110001000110000
320020212112021100012
42100123132020300
514430304323212
61040235514052
7114022120025
oct22033361060
96225467305
102423120432
111033874277
125775b8928
132c8022495
1418db5b54c
15e2ae1922
hex906de230

2423120432 has 40 divisors (see below), whose sum is σ = 4985480016. Its totient is φ = 1136961536.

The previous prime is 2423120411. The next prime is 2423120443. The reversal of 2423120432 is 2340213242.

It is a junction number, because it is equal to n+sod(n) for n = 2423120398 and 2423120407.

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 7 ways as a sum of consecutive naturals, for example, 81548 + ... + 107220.

Almost surely, 22423120432 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 2423120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492740008).

2423120432 is an abundant number, since it is smaller than the sum of its proper divisors (2562359584).

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

2423120432 is a wasteful number, since it uses less digits than its factorization.

2423120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26045 (or 26039 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2423120432 is about 49225.2011880094. The cubic root of 2423120432 is about 1343.1514952055.

Adding to 2423120432 its reverse (2340213242), we get a palindrome (4763333674).

The spelling of 2423120432 in words is "two billion, four hundred twenty-three million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 347 694 1388 2776 5552 5899 11798 23596 25673 47192 51346 94384 102692 205384 410768 436441 872882 1745764 3491528 6983056 8908531 17817062 35634124 71268248 142536496 151445027 302890054 605780108 1211560216 2423120432