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20212032 = 263232199
BaseRepresentation
bin100110100011…
…0100101000000
31102000212200210
41031012211000
520133241112
62001114120
7333541131
oct115064500
942025623
1020212032
1110455665
126928940
134258aa9
142981c88
151b93b3c
hex1346940

20212032 has 84 divisors (see below), whose sum is σ = 56184800. Its totient is φ = 6412032.

The previous prime is 20212013. The next prime is 20212033. The reversal of 20212032 is 23021202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20211999 and 20212017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212033) 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, 101469 + ... + 101667.

Almost surely, 220212032 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 20212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28092400).

20212032 is an abundant number, since it is smaller than the sum of its proper divisors (35972768).

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

20212032 is a wasteful number, since it uses less digits than its factorization.

20212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20212032 is about 4495.7793540164. The cubic root of 20212032 is about 272.3976306555.

Adding to 20212032 its reverse (23021202), we get a palindrome (43233234).

The spelling of 20212032 in words is "twenty million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 199 276 368 398 529 552 597 736 796 1058 1104 1194 1472 1587 1592 2116 2208 2388 3174 3184 4232 4416 4577 4776 6348 6368 8464 9154 9552 12696 12736 13731 16928 18308 19104 25392 27462 33856 36616 38208 50784 54924 73232 101568 105271 109848 146464 210542 219696 292928 315813 421084 439392 631626 842168 878784 1263252 1684336 2526504 3368672 5053008 6737344 10106016 20212032