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20430032 = 247792309
BaseRepresentation
bin100110111101…
…1110011010000
31102102221201212
41031323303100
520212230112
62005515252
7335436530
oct115736320
942387655
1020430032
1110594427
126a12b28
13430409c
1429db4c0
151bd8522
hex137bcd0

20430032 has 40 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 8641152.

The previous prime is 20430029. The next prime is 20430041. The reversal of 20430032 is 23003402.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20429989 and 20430016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7694 + ... + 10002.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 220430032 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 20430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915200).

20430032 is an abundant number, since it is smaller than the sum of its proper divisors (25400368).

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

20430032 is a wasteful number, since it uses less digits than its factorization.

20430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 20430032 is about 4519.9592918521. The cubic root of 20430032 is about 273.3734596388.

Adding to 20430032 its reverse (23003402), we get a palindrome (43433434).

The spelling of 20430032 in words is "twenty million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 2309 4424 4618 8848 9236 16163 18472 32326 36944 64652 129304 182411 258608 364822 729644 1276877 1459288 2553754 2918576 5107508 10215016 20430032