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2050105000 = 23542317827
BaseRepresentation
bin111101000110010…
…0001111010101000
312021212122010100211
41322030201322220
513144311330000
6535232510504
7101542414336
oct17214417250
95255563324
102050105000
1196225a259
124926ab434
1326896b4a8
141563bcb56
15beead7ba
hex7a321ea8

2050105000 has 80 divisors (see below), whose sum is σ = 5012520480. Its totient is φ = 784344000.

The previous prime is 2050104983. The next prime is 2050105009. The reversal of 2050105000 is 5010502.

It is a super-2 number, since 2×20501050002 = 8405861022050000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2050105009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106087 + ... + 123913.

It is an arithmetic number, because the mean of its divisors is an integer number (62656506).

Almost surely, 22050105000 is an apocalyptic number.

2050105000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506260240).

2050105000 is an abundant number, since it is smaller than the sum of its proper divisors (2962415480).

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

2050105000 is a wasteful number, since it uses less digits than its factorization.

2050105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17876 (or 17857 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 2050105000 is about 45278.0852068636. The cubic root of 2050105000 is about 1270.3557810330.

Adding to 2050105000 its reverse (5010502), we get a palindrome (2055115502).

The spelling of 2050105000 in words is "two billion, fifty million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 625 920 1000 1150 1250 2300 2500 2875 4600 5000 5750 11500 14375 17827 23000 28750 35654 57500 71308 89135 115000 142616 178270 356540 410021 445675 713080 820042 891350 1640084 1782700 2050105 2228375 3280168 3565400 4100210 4456750 8200420 8913500 10250525 11141875 16400840 17827000 20501050 22283750 41002100 44567500 51252625 82004200 89135000 102505250 205010500 256263125 410021000 512526250 1025052500 2050105000