Search a number
-
+
2032430420 = 225236836469
BaseRepresentation
bin111100100100100…
…0110110101010100
312020122101011101202
41321021012311110
513130300233140
6533402012032
7101236242056
oct17111066524
95218334352
102032430420
11953288069
124887a7018
132650c0667
14153cdb8d6
15bd66b915
hex79246d54

2032430420 has 48 divisors (see below), whose sum is σ = 4460883840. Its totient is φ = 776366976.

The previous prime is 2032430419. The next prime is 2032430429. The reversal of 2032430420 is 240342302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2032430392 and 2032430401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032430429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310946 + ... + 317414.

It is an arithmetic number, because the mean of its divisors is an integer number (92935080).

Almost surely, 22032430420 is an apocalyptic number.

2032430420 is a gapful number since it is divisible by the number (20) 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 2032430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230441920).

2032430420 is an abundant number, since it is smaller than the sum of its proper divisors (2428453420).

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

2032430420 is a wasteful number, since it uses less digits than its factorization.

2032430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 7182 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2032430420 is about 45082.4846254064. The cubic root of 2032430420 is about 1266.6945310891.

Adding to 2032430420 its reverse (240342302), we get a palindrome (2272772722).

The spelling of 2032430420 in words is "two billion, thirty-two million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 683 1366 2732 3415 6469 6830 12938 13660 15709 25876 31418 32345 62836 64690 78545 129380 148787 157090 297574 314180 595148 743935 1487870 2975740 4418327 8836654 17673308 22091635 44183270 88366540 101621521 203243042 406486084 508107605 1016215210 2032430420