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2026200 = 2335211307
BaseRepresentation
bin111101110101011011000
310210221102110
413232223120
51004314300
6111232320
723136201
oct7565330
93727373
102026200
111164350
128186a0
1355c347
143aa5a8
152a0550
hex1eead8

2026200 has 96 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 489600.

The previous prime is 2026187. The next prime is 2026223. The reversal of 2026200 is 26202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6447 + ... + 6753.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

22026200 is an apocalyptic number.

2026200 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 2026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2026200 is an abundant number, since it is smaller than the sum of its proper divisors (4848360).

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

2026200 is a wasteful number, since it uses less digits than its factorization.

2026200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2026200 is about 1423.4465216509. The cubic root of 2026200 is about 126.5398854580.

The spelling of 2026200 in words is "two million, twenty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 307 330 440 550 600 614 660 825 921 1100 1228 1320 1535 1650 1842 2200 2456 3070 3300 3377 3684 4605 6140 6600 6754 7368 7675 9210 10131 12280 13508 15350 16885 18420 20262 23025 27016 30700 33770 36840 40524 46050 50655 61400 67540 81048 84425 92100 101310 135080 168850 184200 202620 253275 337700 405240 506550 675400 1013100 2026200