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20050416 = 2438191
BaseRepresentation
bin100110001111…
…1000111110000
31101201200000000
41030133013300
520113103131
61553430000
7332266011
oct114370760
941650000
1020050416
11103551a1
12686b300
134200369
14293d008
151b60ce6
hex131f1f0

20050416 has 90 divisors (see below), whose sum is σ = 58573632. Its totient is φ = 6648480.

The previous prime is 20050403. The next prime is 20050439. The reversal of 20050416 is 61405002.

It is a happy number.

20050416 is a `hidden beast` number, since 200 + 50 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104881 + ... + 105071.

Almost surely, 220050416 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 20050416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29286816).

20050416 is an abundant number, since it is smaller than the sum of its proper divisors (38523216).

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

20050416 is an frugal number, since it uses more digits than its factorization.

20050416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20050416 is about 4477.7690873916. The cubic root of 20050416 is about 271.6696537408.

Adding to 20050416 its reverse (61405002), we get a palindrome (81455418).

The spelling of 20050416 in words is "twenty million, fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 191 216 243 324 382 432 486 573 648 729 764 972 1146 1296 1458 1528 1719 1944 2187 2292 2916 3056 3438 3888 4374 4584 5157 5832 6561 6876 8748 9168 10314 11664 13122 13752 15471 17496 20628 26244 27504 30942 34992 41256 46413 52488 61884 82512 92826 104976 123768 139239 185652 247536 278478 371304 417717 556956 742608 835434 1113912 1253151 1670868 2227824 2506302 3341736 5012604 6683472 10025208 20050416