Search a number
-
+
432004506420 = 223515745860351
BaseRepresentation
bin1100100100101010111…
…10011010001100110100
31112022002010200202020110
412102111132122030310
524034221123201140
6530243215503020
743132321500624
oct6222536321464
91468063622213
10432004506420
11157237310803
126b885527a70
13319790979c6
1416ca291a884
15b3864c5380
hex649579a334

432004506420 has 48 divisors (see below), whose sum is σ = 1217317183488. Its totient is φ = 114467433600.

The previous prime is 432004506403. The next prime is 432004506431. The reversal of 432004506420 is 24605400234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22920756 + ... + 22939595.

It is an arithmetic number, because the mean of its divisors is an integer number (25360774656).

Almost surely, 2432004506420 is an apocalyptic number.

It is an amenable number.

432004506420 is an abundant number, since it is smaller than the sum of its proper divisors (785312677068).

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

432004506420 is a wasteful number, since it uses less digits than its factorization.

432004506420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45860520 (or 45860518 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 432004506420 its reverse (24605400234), we get a palindrome (456609906654).

The spelling of 432004506420 in words is "four hundred thirty-two billion, four million, five hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 45860351 91720702 137581053 183441404 229301755 275162106 458603510 550324212 687905265 917207020 1375810530 2751621060 7200075107 14400150214 21600225321 28800300428 36000375535 43200450642 72000751070 86400901284 108001126605 144001502140 216002253210 432004506420