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20430432 = 2532116449
BaseRepresentation
bin100110111101…
…1111001100000
31102102222021200
41031323321200
520212233212
62005521200
7335440641
oct115737140
942388250
1020430432
1110594760
126a13200
134304319
1429db6c8
151bd86dc
hex137be60

20430432 has 72 divisors (see below), whose sum is σ = 63390600. Its totient is φ = 6190080.

The previous prime is 20430409. The next prime is 20430439. The reversal of 20430432 is 23403402.

20430432 is a `hidden beast` number, since 204 + 30 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57 + ... + 6392.

It is an arithmetic number, because the mean of its divisors is an integer number (880425).

Almost surely, 220430432 is an apocalyptic number.

20430432 is a gapful number since it is divisible by the number (22) 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 20430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31695300).

20430432 is an abundant number, since it is smaller than the sum of its proper divisors (42960168).

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

20430432 is a wasteful number, since it uses less digits than its factorization.

20430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20430432 is about 4520.0035398216. The cubic root of 20430432 is about 273.3752437553.

Adding to 20430432 its reverse (23403402), we get a palindrome (43833834).

The spelling of 20430432 in words is "twenty million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6449 12898 19347 25796 38694 51592 58041 70939 77388 103184 116082 141878 154776 206368 212817 232164 283756 309552 425634 464328 567512 619104 638451 851268 928656 1135024 1276902 1702536 1857312 2270048 2553804 3405072 5107608 6810144 10215216 20430432