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20887632 = 243471227
BaseRepresentation
bin100111110101…
…1100001010000
31110022012110000
41033223201100
520321401012
62023410000
7342353613
oct117534120
943265400
1020887632
1110877207
126bb3900
13443445c
142aba17a
151c78ddc
hex13eb850

20887632 has 100 divisors (see below), whose sum is σ = 61576416. Its totient is φ = 6834240.

The previous prime is 20887621. The next prime is 20887649. The reversal of 20887632 is 23678802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91903 + ... + 92129.

Almost surely, 220887632 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 20887632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30788208).

20887632 is an abundant number, since it is smaller than the sum of its proper divisors (40688784).

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

20887632 is a wasteful number, since it uses less digits than its factorization.

20887632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20887632 is about 4570.2988961336. The cubic root of 20887632 is about 275.3994503528.

The spelling of 20887632 in words is "twenty million, eight hundred eighty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 227 284 324 426 432 454 568 639 648 681 852 908 1136 1278 1296 1362 1704 1816 1917 2043 2556 2724 3408 3632 3834 4086 5112 5448 5751 6129 7668 8172 10224 10896 11502 12258 15336 16117 16344 18387 23004 24516 30672 32234 32688 36774 46008 48351 49032 64468 73548 92016 96702 98064 128936 145053 147096 193404 257872 290106 294192 386808 435159 580212 773616 870318 1160424 1305477 1740636 2320848 2610954 3481272 5221908 6962544 10443816 20887632