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208050640 = 24572329557
BaseRepresentation
bin11000110011010…
…01100111010000
3112111111001211021
430121221213100
5411230110030
632351125224
75104254430
oct1431514720
9474431737
10208050640
11a7491586
1259813814
13341457b5
141d8ba2c0
15133e997a
hexc6699d0

208050640 has 160 divisors (see below), whose sum is σ = 597818880. Its totient is φ = 65759232.

The previous prime is 208050581. The next prime is 208050649. The reversal of 208050640 is 46050802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208050649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 373242 + ... + 373798.

It is an arithmetic number, because the mean of its divisors is an integer number (3736368).

Almost surely, 2208050640 is an apocalyptic number.

208050640 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 208050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298909440).

208050640 is an abundant number, since it is smaller than the sum of its proper divisors (389768240).

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

208050640 is a wasteful number, since it uses less digits than its factorization.

208050640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 208050640 is about 14423.9606211332. The cubic root of 208050640 is about 592.5472933699.

The spelling of 208050640 in words is "two hundred eight million, fifty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 29 35 40 46 56 58 70 80 92 112 115 116 140 145 161 184 203 230 232 280 290 322 368 406 460 464 557 560 580 644 667 805 812 920 1015 1114 1160 1288 1334 1610 1624 1840 2030 2228 2320 2576 2668 2785 3220 3248 3335 3899 4060 4456 4669 5336 5570 6440 6670 7798 8120 8912 9338 10672 11140 12811 12880 13340 15596 16153 16240 18676 19495 22280 23345 25622 26680 31192 32306 37352 38990 44560 46690 51244 53360 62384 64055 64612 74704 77980 80765 89677 93380 102488 113071 128110 129224 155960 161530 179354 186760 204976 226142 256220 258448 311920 323060 358708 371519 373520 448385 452284 512440 565355 646120 717416 743038 896770 904568 1024880 1130710 1292240 1434832 1486076 1793540 1809136 1857595 2261420 2600633 2972152 3587080 3715190 4522840 5201266 5944304 7174160 7430380 9045680 10402532 13003165 14860760 20805064 26006330 29721520 41610128 52012660 104025320 208050640