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20385432 = 2334163193
BaseRepresentation
bin100110111000…
…0111010011000
31102100200120000
41031300322120
520204313212
62004533000
7335162514
oct115607230
942320500
1020385432
1110563971
1269b1160
1342b99b2
1429c9144
151bca1dc
hex1370e98

20385432 has 80 divisors (see below), whose sum is σ = 57746040. Its totient is φ = 6718464.

The previous prime is 20385419. The next prime is 20385437. The reversal of 20385432 is 23458302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20385396 and 20385405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20385437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105528 + ... + 105720.

Almost surely, 220385432 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 20385432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28873020).

20385432 is an abundant number, since it is smaller than the sum of its proper divisors (37360608).

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

20385432 is a wasteful number, since it uses less digits than its factorization.

20385432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20385432 is about 4515.0229235298. The cubic root of 20385432 is about 273.1743844185.

The spelling of 20385432 in words is "twenty million, three hundred eighty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 163 193 216 324 326 386 489 579 648 652 772 978 1158 1304 1467 1544 1737 1956 2316 2934 3474 3912 4401 4632 5211 5868 6948 8802 10422 11736 13203 13896 15633 17604 20844 26406 31266 31459 35208 41688 52812 62532 62918 94377 105624 125064 125836 188754 251672 283131 377508 566262 755016 849393 1132524 1698786 2265048 2548179 3397572 5096358 6795144 10192716 20385432