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20050506 = 23272127179
BaseRepresentation
bin100110001111…
…1001001001010
31101201200010100
41030133021022
520113104011
61553430230
7332266200
oct114371112
941650110
1020050506
1110355273
12686b376
134200408
14293d070
151b60d56
hex131f24a

20050506 has 72 divisors (see below), whose sum is σ = 51217920. Its totient is φ = 5651856.

The previous prime is 20050493. The next prime is 20050507. The reversal of 20050506 is 60505002.

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 (20050507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111925 + ... + 112103.

It is an arithmetic number, because the mean of its divisors is an integer number (711360).

Almost surely, 220050506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20050506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608960).

20050506 is an abundant number, since it is smaller than the sum of its proper divisors (31167414).

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

20050506 is a wasteful number, since it uses less digits than its factorization.

20050506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20050506 is about 4477.7791370276. The cubic root of 20050506 is about 271.6700602200.

Adding to 20050506 its reverse (60505002), we get a palindrome (80555508).

It can be divided in two parts, 2005050 and 6, that added together give a square (2005056 = 14162).

The spelling of 20050506 in words is "twenty million, fifty thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 127 147 179 254 294 358 381 441 537 762 882 889 1074 1143 1253 1611 1778 2286 2506 2667 3222 3759 5334 6223 7518 8001 8771 11277 12446 16002 17542 18669 22554 22733 26313 37338 45466 52626 56007 68199 78939 112014 136398 157878 159131 204597 318262 409194 477393 954786 1113917 1432179 2227834 2864358 3341751 6683502 10025253 20050506