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20945232 = 24327111889
BaseRepresentation
bin100111111100…
…1100101010000
31110102010110100
41033321211100
520330221412
62024532400
7343013550
oct117714520
943363410
1020945232
1110906510
127021100
134454739
142ad3160
151c8aedc
hex13f9950

20945232 has 120 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 5437440.

The previous prime is 20945231. The next prime is 20945261. The reversal of 20945232 is 23254902.

20945232 is a `hidden beast` number, since 209 + 452 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20945196 and 20945205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20945231) 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, 10144 + ... + 12032.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 220945232 is an apocalyptic number.

20945232 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 20945232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

20945232 is an abundant number, since it is smaller than the sum of its proper divisors (52175088).

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

20945232 is a wasteful number, since it uses less digits than its factorization.

20945232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20945232 is about 4576.5961150182. The cubic root of 20945232 is about 275.6523663574.

The spelling of 20945232 in words is "twenty million, nine hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 1889 2772 3696 3778 5544 5667 7556 11088 11334 13223 15112 17001 20779 22668 26446 30224 34002 39669 41558 45336 52892 62337 68004 79338 83116 90672 105784 119007 124674 136008 145453 158676 166232 187011 211568 238014 249348 272016 290906 317352 332464 374022 436359 476028 498696 581812 634704 748044 872718 952056 997392 1163624 1309077 1496088 1745436 1904112 2327248 2618154 2992176 3490872 5236308 6981744 10472616 20945232