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206243640 = 23325718069
BaseRepresentation
bin11000100101100…
…00011100111000
3112101002021002100
430102300130320
5410244244030
632244303400
75053020261
oct1422603470
9471067070
10206243640
11a6467999
12590a1b60
1333962175
141d569968
151318e360
hexc4b0738

206243640 has 96 divisors (see below), whose sum is σ = 679816800. Its totient is φ = 54216960.

The previous prime is 206243633. The next prime is 206243647. The reversal of 206243640 is 46342602.

206243640 is a `hidden beast` number, since 2 + 0 + 624 + 36 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (206243633) and next prime (206243647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206243647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21526 + ... + 29594.

It is an arithmetic number, because the mean of its divisors is an integer number (7081425).

Almost surely, 2206243640 is an apocalyptic number.

206243640 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 206243640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339908400).

206243640 is an abundant number, since it is smaller than the sum of its proper divisors (473573160).

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

206243640 is a wasteful number, since it uses less digits than its factorization.

206243640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8157 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 206243640 is about 14361.1851878597. The cubic root of 206243640 is about 590.8268021255.

The spelling of 206243640 in words is "two hundred six million, two hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8069 8520 12780 16138 24207 25560 32276 40345 48414 64552 72621 80690 96828 121035 145242 161380 193656 242070 290484 322760 363105 484140 572899 580968 726210 968280 1145798 1452420 1718697 2291596 2864495 2904840 3437394 4583192 5156091 5728990 6874788 8593485 10312182 11457980 13749576 17186970 20624364 22915960 25780455 34373940 41248728 51560910 68747880 103121820 206243640