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268743680 = 210552489
BaseRepresentation
bin10000000001001…
…011010000000000
3200201200121000122
4100001023100000
51022244244210
642400035412
76442166162
oct2001132000
9621617018
10268743680
11128776117
1276002b68
13438a603a
1427998932
15188d7b55
hex1004b400

268743680 has 44 divisors (see below), whose sum is σ = 644682180. Its totient is φ = 107495424.

The previous prime is 268743589. The next prime is 268743689. The reversal of 268743680 is 86347862.

It can be written as a sum of positive squares in 2 ways, for example, as 68690944 + 200052736 = 8288^2 + 14144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268743689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21125 + ... + 31364.

Almost surely, 2268743680 is an apocalyptic number.

268743680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268743680 is an abundant number, since it is smaller than the sum of its proper divisors (375938500).

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

268743680 is an equidigital number, since it uses as much as digits as its factorization.

268743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52514 (or 52496 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 268743680 is about 16393.4035514288. The cubic root of 268743680 is about 645.3263816993.

The spelling of 268743680 in words is "two hundred sixty-eight million, seven hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 52489 104978 209956 262445 419912 524890 839824 1049780 1679648 2099560 3359296 4199120 6718592 8398240 13437184 16796480 26874368 33592960 53748736 67185920 134371840 268743680