Search a number
-
+
20430372040 = 2351346784131
BaseRepresentation
bin10011000001101111…
…101011110011001000
31221201211100102200221
4103001233223303020
5313320133401130
613215141435424
71322166203611
oct230157536310
957654312627
1020430372040
1187344599a1
123b6210bb74
131c078c1650
14dbb514c08
157e892d87a
hex4c1bebcc8

20430372040 has 64 divisors (see below), whose sum is σ = 49610957760. Its totient is φ = 7527279360.

The previous prime is 20430372031. The next prime is 20430372073. The reversal of 20430372040 is 4027303402.

It is a junction number, because it is equal to n+sod(n) for n = 20430371996 and 20430372014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200775 + ... + 284905.

It is an arithmetic number, because the mean of its divisors is an integer number (775171215).

Almost surely, 220430372040 is an apocalyptic number.

20430372040 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 20430372040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24805478880).

20430372040 is an abundant number, since it is smaller than the sum of its proper divisors (29180585720).

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

20430372040 is a wasteful number, since it uses less digits than its factorization.

20430372040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84622 (or 84618 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

Adding to 20430372040 its reverse (4027303402), we get a palindrome (24457675442).

The spelling of 20430372040 in words is "twenty billion, four hundred thirty million, three hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 467 520 934 1868 2335 3736 4670 6071 9340 12142 18680 24284 30355 48568 60710 84131 121420 168262 242840 336524 420655 673048 841310 1093703 1682620 2187406 3365240 4374812 5468515 8749624 10937030 21874060 39289177 43748120 78578354 157156708 196445885 314313416 392891770 510759301 785783540 1021518602 1571567080 2043037204 2553796505 4086074408 5107593010 10215186020 20430372040