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20491632 = 2432729701
BaseRepresentation
bin100111000101…
…0110101110000
31102120002020100
41032022311300
520221213012
62011112400
7336114240
oct116126560
942502210
1020491632
1110626737
126a42700
134326135
142a15b20
151beb8dc
hex138ad70

20491632 has 120 divisors (see below), whose sum is σ = 67897440. Its totient is φ = 5644800.

The previous prime is 20491631. The next prime is 20491699. The reversal of 20491632 is 23619402.

20491632 is a `hidden beast` number, since 20 + 4 + 9 + 1 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20491596 and 20491605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20491631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28882 + ... + 29582.

It is an arithmetic number, because the mean of its divisors is an integer number (565812).

Almost surely, 220491632 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 20491632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).

20491632 is an abundant number, since it is smaller than the sum of its proper divisors (47405808).

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

20491632 is a wasteful number, since it uses less digits than its factorization.

20491632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20491632 is about 4526.7683837369. The cubic root of 20491632 is about 273.6479396862.

The spelling of 20491632 in words is "twenty million, four hundred ninety-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 701 812 1008 1044 1218 1392 1402 1624 1827 2088 2103 2436 2804 3248 3654 4176 4206 4872 4907 5608 6309 7308 8412 9744 9814 11216 12618 14616 14721 16824 19628 20329 25236 29232 29442 33648 39256 40658 44163 50472 58884 60987 78512 81316 88326 100944 117768 121974 142303 162632 176652 182961 235536 243948 284606 325264 353304 365922 426909 487896 569212 706608 731844 853818 975792 1138424 1280727 1463688 1707636 2276848 2561454 2927376 3415272 5122908 6830544 10245816 20491632