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20020032 = 263234757
BaseRepresentation
bin100110001011…
…1101101000000
31101200010022200
41030113231000
520111120112
61553033200
7332111304
oct114275500
941603280
1020020032
111033438a
126855800
1341bc596
142931d04
151b56cdc
hex1317b40

20020032 has 42 divisors (see below), whose sum is σ = 57385458. Its totient is φ = 6673152.

The previous prime is 20020027. The next prime is 20020093. The reversal of 20020032 is 23002002.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 5089536 = 3864^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20019996 and 20020023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16803 + ... + 17954.

Almost surely, 220020032 is an apocalyptic number.

It is an amenable number.

20020032 is an abundant number, since it is smaller than the sum of its proper divisors (37365426).

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

20020032 is a wasteful number, since it uses less digits than its factorization.

20020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34775 (or 34762 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20020032 is about 4474.3750401592. The cubic root of 20020032 is about 271.5323567757.

Adding to 20020032 its reverse (23002002), we get a palindrome (43022034).

The spelling of 20020032 in words is "twenty million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 34757 69514 104271 139028 208542 278056 312813 417084 556112 625626 834168 1112224 1251252 1668336 2224448 2502504 3336672 5005008 6673344 10010016 20020032