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206326900 = 225213433691
BaseRepresentation
bin11000100110001…
…00110001110100
3112101020111022001
430103010301310
5410304430100
632250145044
75053515103
oct1423046164
9471214261
10206326900
11a65144aa
1259122184
1333991030
141d58c03a
15131a8d6a
hexc4c4c74

206326900 has 72 divisors (see below), whose sum is σ = 493517024. Its totient is φ = 74390400.

The previous prime is 206326877. The next prime is 206326957. The reversal of 206326900 is 9623602.

It is a super-2 number, since 2×2063269002 = 85141579327220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54055 + ... + 57745.

Almost surely, 2206326900 is an apocalyptic number.

206326900 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 206326900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758512).

206326900 is an abundant number, since it is smaller than the sum of its proper divisors (287190124).

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

206326900 is a wasteful number, since it uses less digits than its factorization.

206326900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 206326900 is about 14364.0836811820. The cubic root of 206326900 is about 590.9062964903.

The spelling of 206326900 in words is "two hundred six million, three hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 430 559 650 860 1075 1118 1300 2150 2236 2795 3691 4300 5590 7382 11180 13975 14764 18455 27950 36910 47983 55900 73820 92275 95966 158713 184550 191932 239915 317426 369100 479830 634852 793565 959660 1199575 1587130 2063269 2399150 3174260 3967825 4126538 4798300 7935650 8253076 10316345 15871300 20632690 41265380 51581725 103163450 206326900