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20332312 = 23711132539
BaseRepresentation
bin100110110001…
…1111100011000
31102020222200121
41031203330120
520201113222
62003443024
7334551610
oct115437430
942228617
1020332312
1110527a70
126986474
13429b770
1429b3a40
151bb95c7
hex1363f18

20332312 has 64 divisors (see below), whose sum is σ = 51206400. Its totient is φ = 7309440.

The previous prime is 20332297. The next prime is 20332313. The reversal of 20332312 is 21323302.

20332312 = T253 + T254 + ... + T516.

It is a super-2 number, since 2×203323122 = 826805822530688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332313) 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 15 ways as a sum of consecutive naturals, for example, 6739 + ... + 9277.

It is an arithmetic number, because the mean of its divisors is an integer number (800100).

Almost surely, 220332312 is an apocalyptic number.

20332312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

20332312 is an abundant number, since it is smaller than the sum of its proper divisors (30874088).

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

20332312 is a wasteful number, since it uses less digits than its factorization.

20332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 20332312 is about 4509.1365027020. The cubic root of 20332312 is about 272.9369003536.

Adding to 20332312 its reverse (21323302), we get a palindrome (41655614).

The spelling of 20332312 in words is "twenty million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2539 4004 5078 8008 10156 17773 20312 27929 33007 35546 55858 66014 71092 111716 132028 142184 195503 223432 231049 264056 363077 391006 462098 726154 782012 924196 1452308 1564024 1848392 2541539 2904616 5083078 10166156 20332312