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68266400 = 255285333
BaseRepresentation
bin1000001000110…
…10100110100000
311202110021220012
410010122212200
5114434011100
610435104052
71456153256
oct404324640
9152407805
1068266400
1135597614
121aa42028
13111b2727
1490d05d6
155ed7135
hex411a9a0

68266400 has 36 divisors (see below), whose sum is σ = 166657302. Its totient is φ = 27306240.

The previous prime is 68266397. The next prime is 68266403. The reversal of 68266400 is 466286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68266397) and next prime (68266403).

It can be written as a sum of positive squares in 3 ways, for example, as 44568976 + 23697424 = 6676^2 + 4868^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (68266403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41867 + ... + 43466.

Almost surely, 268266400 is an apocalyptic number.

It is an amenable number.

68266400 is an abundant number, since it is smaller than the sum of its proper divisors (98390902).

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

68266400 is a wasteful number, since it uses less digits than its factorization.

68266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85353 (or 85340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 68266400 is about 8262.3483344628. The cubic root of 68266400 is about 408.6978317832.

The spelling of 68266400 in words is "sixty-eight million, two hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 85333 170666 341332 426665 682664 853330 1365328 1706660 2133325 2730656 3413320 4266650 6826640 8533300 13653280 17066600 34133200 68266400