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20063232 = 210327311
BaseRepresentation
bin100110010001…
…0010000000000
31101202022120200
41030202100000
520114010412
61554005200
7332351250
oct114422000
941668520
1020063232
1110363892
126876800
134206147
142943960
151b649dc
hex1322400

20063232 has 132 divisors (see below), whose sum is σ = 66421056. Its totient is φ = 5713920.

The previous prime is 20063209. The next prime is 20063243. The reversal of 20063232 is 23236002.

20063232 is a `hidden beast` number, since 2 + 0 + 0 + 632 + 32 = 666.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64357 + ... + 64667.

Almost surely, 220063232 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 20063232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33210528).

20063232 is an abundant number, since it is smaller than the sum of its proper divisors (46357824).

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

20063232 is a wasteful number, since it uses less digits than its factorization.

20063232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20063232 is about 4479.1999285587. The cubic root of 20063232 is about 271.7275241397.

Adding to 20063232 its reverse (23236002), we get a palindrome (43299234).

The spelling of 20063232 in words is "twenty million, sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 311 336 384 448 504 512 576 622 672 768 896 933 1008 1024 1152 1244 1344 1536 1792 1866 2016 2177 2304 2488 2688 2799 3072 3584 3732 4032 4354 4608 4976 5376 5598 6531 7168 7464 8064 8708 9216 9952 10752 11196 13062 14928 16128 17416 19593 19904 21504 22392 26124 29856 32256 34832 39186 39808 44784 52248 59712 64512 69664 78372 79616 89568 104496 119424 139328 156744 159232 179136 208992 238848 278656 313488 318464 358272 417984 477696 557312 626976 716544 835968 955392 1114624 1253952 1433088 1671936 2229248 2507904 2866176 3343872 5015808 6687744 10031616 20063232