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20329696 = 2519291153
BaseRepresentation
bin100110110001…
…1010011100000
31102020212002201
41031203103200
520201022241
62003422544
7334541152
oct115432340
942225081
1020329696
1110526002
126984a54
13429a50a
1429b2ad2
151bb8931
hex13634e0

20329696 has 48 divisors (see below), whose sum is σ = 43621200. Its totient is φ = 9289728.

The previous prime is 20329693. The next prime is 20329711. The reversal of 20329696 is 69692302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20329693) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17056 + ... + 18208.

It is an arithmetic number, because the mean of its divisors is an integer number (908775).

Almost surely, 220329696 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 20329696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21810600).

20329696 is an abundant number, since it is smaller than the sum of its proper divisors (23291504).

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

20329696 is a wasteful number, since it uses less digits than its factorization.

20329696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 20329696 is about 4508.8464156589. The cubic root of 20329696 is about 272.9251942974.

It can be divided in two parts, 20329 and 696, that added together give a square (21025 = 1452).

The spelling of 20329696 in words is "twenty million, three hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 1153 2204 2306 4408 4612 8816 9224 17632 18448 21907 33437 36896 43814 66874 87628 133748 175256 267496 350512 534992 635303 701024 1069984 1270606 2541212 5082424 10164848 20329696