Search a number
-
+
20432343400 = 23527216312791
BaseRepresentation
bin10011000001110111…
…001101000101101000
31221201222001120220021
4103001313031011220
5313321134442100
613215252010224
71322222024200
oct230167150550
957658046807
1020432343400
118735586017
123b62900974
131c08131a31
14dbb8a9400
157e8bbca1a
hex4c1dcd168

20432343400 has 144 divisors (see below), whose sum is σ = 55604521440. Its totient is φ = 6961852800.

The previous prime is 20432343361. The next prime is 20432343409. The reversal of 20432343400 is 434323402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20432343409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1591005 + ... + 1603795.

It is an arithmetic number, because the mean of its divisors is an integer number (386142510).

Almost surely, 220432343400 is an apocalyptic number.

20432343400 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 20432343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27802260720).

20432343400 is an abundant number, since it is smaller than the sum of its proper divisors (35172178040).

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

20432343400 is a wasteful number, since it uses less digits than its factorization.

20432343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 20432343400 its reverse (434323402), we get a palindrome (20866666802).

The spelling of 20432343400 in words is "twenty billion, four hundred thirty-two million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 163 175 196 200 245 280 326 350 392 490 652 700 815 980 1141 1225 1304 1400 1630 1960 2282 2450 3260 4075 4564 4900 5705 6520 7987 8150 9128 9800 11410 12791 15974 16300 22820 25582 28525 31948 32600 39935 45640 51164 57050 63896 63955 79870 89537 102328 114100 127910 159740 179074 199675 228200 255820 319480 319775 358148 399350 447685 511640 626759 639550 716296 798700 895370 1253518 1279100 1597400 1790740 2084933 2238425 2507036 2558200 3133795 3581480 4169866 4476850 5014072 6267590 8339732 8953700 10424665 12535180 14594531 15668975 16679464 17907400 20849330 25070360 29189062 31337950 41698660 52123325 58378124 62675900 72972655 83397320 102161717 104246650 116756248 125351800 145945310 204323434 208493300 291890620 364863275 408646868 416986600 510808585 583781240 729726550 817293736 1021617170 1459453100 2043234340 2554042925 2918906200 4086468680 5108085850 10216171700 20432343400