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2059894000 = 24538312409
BaseRepresentation
bin111101011000111…
…0111110011110000
312022120001110100101
41322301313303300
513204313102000
6540222402144
7102021544603
oct17261676360
95276043311
102059894000
1196783593a
12495a30354
1326a9b7cb8
1415780a33a
15c0c93e6a
hex7ac77cf0

2059894000 has 80 divisors (see below), whose sum is σ = 5041239840. Its totient is φ = 813964800.

The previous prime is 2059893991. The next prime is 2059894027. The reversal of 2059894000 is 4989502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159796 + ... + 172204.

It is an arithmetic number, because the mean of its divisors is an integer number (63015498).

Almost surely, 22059894000 is an apocalyptic number.

2059894000 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 2059894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520619920).

2059894000 is an abundant number, since it is smaller than the sum of its proper divisors (2981345840).

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

2059894000 is a wasteful number, since it uses less digits than its factorization.

2059894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 2059894000 is about 45386.0551270982. The cubic root of 2059894000 is about 1272.3745024149.

The spelling of 2059894000 in words is "two billion, fifty-nine million, eight hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 830 1000 1328 1660 2000 2075 3320 4150 6640 8300 10375 12409 16600 20750 24818 33200 41500 49636 62045 83000 99272 124090 166000 198544 248180 310225 496360 620450 992720 1029947 1240900 1551125 2059894 2481800 3102250 4119788 4963600 5149735 6204500 8239576 10299470 12409000 16479152 20598940 24818000 25748675 41197880 51497350 82395760 102994700 128743375 205989400 257486750 411978800 514973500 1029947000 2059894000