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206463640 = 235172343307
BaseRepresentation
bin11000100111001…
…10001010011000
3112101111102212111
430103212022120
5410323314030
632253122104
75054624545
oct1423461230
9471442774
10206463640
11a65a8209
1259189334
1333a0b346
141d5c5bcc
15131d462a
hexc4e6298

206463640 has 128 divisors (see below), whose sum is σ = 526901760. Its totient is φ = 72382464.

The previous prime is 206463629. The next prime is 206463641. The reversal of 206463640 is 46364602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206463641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672367 + ... + 672673.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2206463640 is an apocalyptic number.

206463640 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 206463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

206463640 is an abundant number, since it is smaller than the sum of its proper divisors (320438120).

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

206463640 is a wasteful number, since it uses less digits than its factorization.

206463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 206463640 is about 14368.8426813018. The cubic root of 206463640 is about 591.0368057029.

The spelling of 206463640 in words is "two hundred six million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 43 46 68 85 86 92 115 136 170 172 184 215 230 307 340 344 391 430 460 614 680 731 782 860 920 989 1228 1462 1535 1564 1720 1955 1978 2456 2924 3070 3128 3655 3910 3956 4945 5219 5848 6140 7061 7310 7820 7912 9890 10438 12280 13201 14122 14620 15640 16813 19780 20876 26095 26402 28244 29240 33626 35305 39560 41752 52190 52804 56488 66005 67252 70610 84065 104380 105608 120037 132010 134504 141220 168130 208760 224417 240074 264020 282440 303623 336260 448834 480148 528040 600185 607246 672520 897668 960296 1122085 1200370 1214492 1518115 1795336 2244170 2400740 2428984 3036230 4488340 4801480 5161591 6072460 8976680 10323182 12144920 20646364 25807955 41292728 51615910 103231820 206463640