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21200032 = 257314371
BaseRepresentation
bin101000011011…
…1110010100000
31110220001222101
41100313302200
520411400112
62034220144
7345124450
oct120676240
943801871
1021200032
1110a6a997
127124654
1345136c9
142b5bd60
151cdb757
hex1437ca0

21200032 has 96 divisors (see below), whose sum is σ = 51093504. Its totient is φ = 8467200.

The previous prime is 21200021. The next prime is 21200041. The reversal of 21200032 is 23000212.

It is a junction number, because it is equal to n+sod(n) for n = 21199991 and 21200018.

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 15 ways as a sum of consecutive naturals, for example, 298557 + ... + 298627.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 221200032 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 21200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546752).

21200032 is an abundant number, since it is smaller than the sum of its proper divisors (29893472).

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

21200032 is a wasteful number, since it uses less digits than its factorization.

21200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 21200032 is about 4604.3492482652. The cubic root of 21200032 is about 276.7656399819.

Adding to 21200032 its reverse (23000212), we get a palindrome (44200244).

The spelling of 21200032 in words is "twenty-one million, two hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 71 86 112 124 142 172 217 224 248 284 301 344 434 496 497 568 602 688 868 992 994 1136 1204 1333 1376 1736 1988 2201 2272 2408 2666 3053 3472 3976 4402 4816 5332 6106 6944 7952 8804 9331 9632 10664 12212 15407 15904 17608 18662 21328 21371 24424 30814 35216 37324 42656 42742 48848 61628 70432 74648 85484 94643 97696 123256 149296 170968 189286 246512 298592 341936 378572 493024 662501 683872 757144 1325002 1514288 2650004 3028576 5300008 10600016 21200032