Search a number
-
+
68297800 = 2352418329
BaseRepresentation
bin1000001001000…
…10010001001000
311202111212222011
410010202101020
5114441012200
610435505304
71456343644
oct404422110
9152455864
1068297800
113560916a
121aa58234
13111c3acc
1490dbc24
155ee15ba
hex4122448

68297800 has 48 divisors (see below), whose sum is σ = 162684900. Its totient is φ = 26649600.

The previous prime is 68297783. The next prime is 68297821. The reversal of 68297800 is 879286.

It can be written as a sum of positive squares in 6 ways, for example, as 1483524 + 66814276 = 1218^2 + 8174^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4036 + ... + 12364.

Almost surely, 268297800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68297800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81342450).

68297800 is an abundant number, since it is smaller than the sum of its proper divisors (94387100).

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

68297800 is a wasteful number, since it uses less digits than its factorization.

68297800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 68297800 is about 8264.2483021749. The cubic root of 68297800 is about 408.7604841023.

The spelling of 68297800 in words is "sixty-eight million, two hundred ninety-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 8329 16658 33316 41645 66632 83290 166580 208225 333160 341489 416450 682978 832900 1365956 1665800 1707445 2731912 3414890 6829780 8537225 13659560 17074450 34148900 68297800