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2058000 = 2435373
BaseRepresentation
bin111110110011100010000
310212120001020
413312130100
51011324000
6112035440
723331000
oct7663420
93776036
102058000
11118622a
12832b80
13570969
143b8000
152a9ba0
hex1f6710

2058000 has 160 divisors (see below), whose sum is σ = 7737600. Its totient is φ = 470400.

The previous prime is 2057999. The next prime is 2058011. The reversal of 2058000 is 8502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 293997 + ... + 294003.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

22058000 is an apocalyptic number.

2058000 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 2058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868800).

2058000 is an abundant number, since it is smaller than the sum of its proper divisors (5679600).

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

2058000 is an equidigital number, since it uses as much as digits as its factorization.

2058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2058000 is about 1434.5731072343. The cubic root of 2058000 is about 127.1984414982.

The spelling of 2058000 in words is "two million, fifty-eight thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 49 50 56 60 70 75 80 84 98 100 105 112 120 125 140 147 150 168 175 196 200 210 240 245 250 280 294 300 336 343 350 375 392 400 420 490 500 525 560 588 600 686 700 735 750 784 840 875 980 1000 1029 1050 1176 1200 1225 1372 1400 1470 1500 1680 1715 1750 1960 2000 2058 2100 2352 2450 2625 2744 2800 2940 3000 3430 3500 3675 3920 4116 4200 4900 5145 5250 5488 5880 6000 6125 6860 7000 7350 8232 8400 8575 9800 10290 10500 11760 12250 13720 14000 14700 16464 17150 18375 19600 20580 21000 24500 25725 27440 29400 34300 36750 41160 42000 42875 49000 51450 58800 68600 73500 82320 85750 98000 102900 128625 137200 147000 171500 205800 257250 294000 343000 411600 514500 686000 1029000 2058000