Search a number
-
+
432210020 = 2251123229373
BaseRepresentation
bin11001110000110…
…000000001100100
31010010021112200112
4121300300001210
51341121210040
6110515432152
713465503344
oct3160600144
91103245615
10432210020
11201a75870
121008b5658
136b70b498
144158ad24
1527e27365
hex19c30064

432210020 has 96 divisors (see below), whose sum is σ = 1040497920. Its totient is φ = 149276160.

The previous prime is 432210019. The next prime is 432210049. The reversal of 432210020 is 20012234.

It is a junction number, because it is equal to n+sod(n) for n = 432209977 and 432210004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158554 + ... + 1158926.

It is an arithmetic number, because the mean of its divisors is an integer number (10838520).

Almost surely, 2432210020 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 432210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520248960).

432210020 is an abundant number, since it is smaller than the sum of its proper divisors (608287900).

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

432210020 is a wasteful number, since it uses less digits than its factorization.

432210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 432210020 is about 20789.6613729036. The cubic root of 432210020 is about 756.0751140804.

Adding to 432210020 its reverse (20012234), we get a palindrome (452222254).

The spelling of 432210020 in words is "four hundred thirty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 229 230 253 373 458 460 506 746 916 1012 1145 1265 1492 1865 2290 2519 2530 3730 4103 4580 5038 5060 5267 7460 8206 8579 10076 10534 12595 16412 17158 20515 21068 25190 26335 34316 41030 42895 50380 52670 57937 82060 85417 85790 94369 105340 115874 170834 171580 188738 231748 289685 341668 377476 427085 471845 579370 854170 939587 943690 1158740 1708340 1879174 1887380 1964591 3758348 3929182 4697935 7858364 9395870 9822955 18791740 19645910 21610501 39291820 43221002 86442004 108052505 216105010 432210020