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20050632 = 2333789149
BaseRepresentation
bin100110001111…
…1001011001000
31101201200022000
41030133023020
520113110012
61553431000
7332266440
oct114371310
941650260
1020050632
1110355378
12686b460
1342004a4
14293d120
151b60ddc
hex131f2c8

20050632 has 128 divisors (see below), whose sum is σ = 64800000. Its totient is φ = 5626368.

The previous prime is 20050631. The next prime is 20050651. The reversal of 20050632 is 23605002.

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

It is not an unprimeable number, because it can be changed into a prime (20050631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134494 + ... + 134642.

It is an arithmetic number, because the mean of its divisors is an integer number (506250).

Almost surely, 220050632 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 20050632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400000).

20050632 is an abundant number, since it is smaller than the sum of its proper divisors (44749368).

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

20050632 is a wasteful number, since it uses less digits than its factorization.

20050632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

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

The square root of 20050632 is about 4477.7932064802. The cubic root of 20050632 is about 271.6706292888.

Adding to 20050632 its reverse (23605002), we get a palindrome (43655634).

The spelling of 20050632 in words is "twenty million, fifty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 89 108 126 149 168 178 189 216 252 267 298 356 378 447 504 534 596 623 712 756 801 894 1043 1068 1192 1246 1341 1512 1602 1788 1869 2086 2136 2403 2492 2682 3129 3204 3576 3738 4023 4172 4806 4984 5364 5607 6258 6408 7476 8046 8344 9387 9612 10728 11214 12516 13261 14952 16092 16821 18774 19224 22428 25032 26522 28161 32184 33642 37548 39783 44856 53044 56322 67284 75096 79566 92827 106088 112644 119349 134568 159132 185654 225288 238698 278481 318264 358047 371308 477396 556962 716094 742616 835443 954792 1113924 1432188 1670886 2227848 2506329 2864376 3341772 5012658 6683544 10025316 20050632