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20636532 = 22377337
BaseRepresentation
bin100111010111…
…0001101110100
31102211110000000
41032232031310
520240332112
62014151300
7340256550
oct116561564
942743000
1020636532
1110715594
126ab2530
134377087
142a52860
151c297dc
hex13ae374

20636532 has 96 divisors (see below), whose sum is σ = 62083840. Its totient is φ = 5878656.

The previous prime is 20636513. The next prime is 20636549. The reversal of 20636532 is 23563602.

20636532 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 653 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20636496 and 20636505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61068 + ... + 61404.

Almost surely, 220636532 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 20636532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31041920).

20636532 is an abundant number, since it is smaller than the sum of its proper divisors (41447308).

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

20636532 is an equidigital number, since it uses as much as digits as its factorization.

20636532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 20636532 is about 4542.7449851384. The cubic root of 20636532 is about 274.2914298474.

The spelling of 20636532 in words is "twenty million, six hundred thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 337 378 486 567 674 729 756 972 1011 1134 1348 1458 1701 2022 2187 2268 2359 2916 3033 3402 4044 4374 4718 5103 6066 6804 7077 8748 9099 9436 10206 12132 14154 15309 18198 20412 21231 27297 28308 30618 36396 42462 54594 61236 63693 81891 84924 109188 127386 163782 191079 245673 254772 327564 382158 491346 573237 737019 764316 982692 1146474 1474038 1719711 2292948 2948076 3439422 5159133 6878844 10318266 20636532