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20723632 = 242959757
BaseRepresentation
bin100111100001…
…1011110110000
31102222212110221
41033003132300
520301124012
62020102424
7341101516
oct117033660
942885427
1020723632
1110774a76
126b34a14
1343a7907
142a764b6
151c45507
hex13c37b0

20723632 has 40 divisors (see below), whose sum is σ = 42296400. Its totient is φ = 9821952.

The previous prime is 20723627. The next prime is 20723639. The reversal of 20723632 is 23632702.

It is a junction number, because it is equal to n+sod(n) for n = 20723597 and 20723606.

It is not an unprimeable number, because it can be changed into a prime (20723639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26998 + ... + 27754.

It is an arithmetic number, because the mean of its divisors is an integer number (1057410).

Almost surely, 220723632 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 20723632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21148200).

20723632 is an abundant number, since it is smaller than the sum of its proper divisors (21572768).

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

20723632 is a wasteful number, since it uses less digits than its factorization.

20723632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 20723632 is about 4552.3216055108. The cubic root of 20723632 is about 274.6767861082.

The spelling of 20723632 in words is "twenty million, seven hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 59 116 118 232 236 464 472 757 944 1514 1711 3028 3422 6056 6844 12112 13688 21953 27376 43906 44663 87812 89326 175624 178652 351248 357304 714608 1295227 2590454 5180908 10361816 20723632