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20523312 = 2432359397
BaseRepresentation
bin100111001001…
…0100100110000
31102121200200200
41032102210300
520223221222
62011515200
7336305505
oct116224460
942550620
1020523312
1110648517
126a58b00
134337694
142a234ac
151c05eac
hex1392930

20523312 has 60 divisors (see below), whose sum is σ = 57741840. Its totient is φ = 6804864.

The previous prime is 20523299. The next prime is 20523317. The reversal of 20523312 is 21332502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20523317) 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, 51498 + ... + 51894.

It is an arithmetic number, because the mean of its divisors is an integer number (962364).

Almost surely, 220523312 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 20523312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28870920).

20523312 is an abundant number, since it is smaller than the sum of its proper divisors (37218528).

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

20523312 is a wasteful number, since it uses less digits than its factorization.

20523312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20523312 is about 4530.2662173431. The cubic root of 20523312 is about 273.7888867007.

Adding to 20523312 its reverse (21332502), we get a palindrome (41855814).

The spelling of 20523312 in words is "twenty million, five hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 359 397 718 794 1077 1191 1436 1588 2154 2382 2872 3176 3231 3573 4308 4764 5744 6352 6462 7146 8616 9528 12924 14292 17232 19056 25848 28584 51696 57168 142523 285046 427569 570092 855138 1140184 1282707 1710276 2280368 2565414 3420552 5130828 6841104 10261656 20523312