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20050368 = 2631329277
BaseRepresentation
bin100110001111…
…1000111000000
31101201122221020
41030133013000
520113102433
61553425440
7332265612
oct114370700
941648836
1020050368
1110355158
12686b280
134200330
14293cdb2
151b60cb3
hex131f1c0

20050368 has 112 divisors (see below), whose sum is σ = 59314080. Its totient is φ = 5935104.

The previous prime is 20050367. The next prime is 20050391. The reversal of 20050368 is 86305002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20050363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72246 + ... + 72522.

It is an arithmetic number, because the mean of its divisors is an integer number (529590).

Almost surely, 220050368 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 20050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29657040).

20050368 is an abundant number, since it is smaller than the sum of its proper divisors (39263712).

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

20050368 is a wasteful number, since it uses less digits than its factorization.

20050368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20050368 is about 4477.7637275765. The cubic root of 20050368 is about 271.6694369514.

The spelling of 20050368 in words is "twenty million, fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 277 312 348 377 416 464 554 624 696 754 831 832 928 1108 1131 1248 1392 1508 1662 1856 2216 2262 2496 2784 3016 3324 3601 4432 4524 5568 6032 6648 7202 8033 8864 9048 10803 12064 13296 14404 16066 17728 18096 21606 24099 24128 26592 28808 32132 36192 43212 48198 53184 57616 64264 72384 86424 96396 104429 115232 128528 172848 192792 208858 230464 257056 313287 345696 385584 417716 514112 626574 691392 771168 835432 1253148 1542336 1670864 2506296 3341728 5012592 6683456 10025184 20050368