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20083000 = 2353719151
BaseRepresentation
bin100110010011…
…1000100111000
31101210022200211
41030213010320
520120124000
61554240504
7332463010
oct114470470
941708624
1020083000
1110377723
126886134
134212142
14294ac40
151b6a7ba
hex1327138

20083000 has 128 divisors (see below), whose sum is σ = 56908800. Its totient is φ = 6480000.

The previous prime is 20082991. The next prime is 20083003. The reversal of 20083000 is 38002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20083003) 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 31 ways as a sum of consecutive naturals, for example, 132925 + ... + 133075.

It is an arithmetic number, because the mean of its divisors is an integer number (444600).

Almost surely, 220083000 is an apocalyptic number.

20083000 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 20083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28454400).

20083000 is an abundant number, since it is smaller than the sum of its proper divisors (36825800).

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

20083000 is a wasteful number, since it uses less digits than its factorization.

20083000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 20083000 is about 4481.4060293618. The cubic root of 20083000 is about 271.8167378568.

The spelling of 20083000 in words is "twenty million, eighty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 151 152 175 190 200 250 266 280 302 350 380 475 500 532 604 665 700 755 760 875 950 1000 1057 1064 1208 1330 1400 1510 1750 1900 2114 2375 2660 2869 3020 3325 3500 3775 3800 4228 4750 5285 5320 5738 6040 6650 7000 7550 8456 9500 10570 11476 13300 14345 15100 16625 18875 19000 20083 21140 22952 26425 26600 28690 30200 33250 37750 40166 42280 52850 57380 66500 71725 75500 80332 100415 105700 114760 132125 133000 143450 151000 160664 200830 211400 264250 286900 358625 401660 502075 528500 573800 717250 803320 1004150 1057000 1434500 2008300 2510375 2869000 4016600 5020750 10041500 20083000