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20321532 = 22327117331
BaseRepresentation
bin100110110000…
…1010011111100
31102020102220100
41031201103330
520200242112
62003321100
7334505310
oct115412374
942212810
1020321532
111051a960
126980190
13429689a
1429adb40
151bb62dc
hex13614fc

20321532 has 72 divisors (see below), whose sum is σ = 64052352. Its totient is φ = 5277600.

The previous prime is 20321447. The next prime is 20321537. The reversal of 20321532 is 23512302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321537) 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 23 ways as a sum of consecutive naturals, for example, 894 + ... + 6437.

It is an arithmetic number, because the mean of its divisors is an integer number (889616).

Almost surely, 220321532 is an apocalyptic number.

20321532 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 20321532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32026176).

20321532 is an abundant number, since it is smaller than the sum of its proper divisors (43730820).

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

20321532 is a wasteful number, since it uses less digits than its factorization.

20321532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359 (or 7354 counting only the distinct ones).

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

The square root of 20321532 is about 4507.9409934026. The cubic root of 20321532 is about 272.8886556364. Note that the first 3 decimals are identical.

Adding to 20321532 its reverse (23512302), we get a palindrome (43833834).

The spelling of 20321532 in words is "twenty million, three hundred twenty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 7331 14662 21993 29324 43986 51317 65979 80641 87972 102634 131958 153951 161282 205268 241923 263916 307902 322564 461853 483846 564487 615804 725769 923706 967692 1128974 1451538 1693461 1847412 2257948 2903076 3386922 5080383 6773844 10160766 20321532