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68100768 = 2532236461
BaseRepresentation
bin1000000111100…
…10001010100000
311202010212200200
410003302022200
5114413211033
610431345200
71454563341
oct403621240
9152125620
1068100768
113549412a
121a982200
1311155218
14908a0c8
155ea3013
hex40f22a0

68100768 has 36 divisors (see below), whose sum is σ = 193662378. Its totient is φ = 22700160.

The previous prime is 68100761. The next prime is 68100779. The reversal of 68100768 is 86700186.

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 1710864 = 8148^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68100761) 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, 117943 + ... + 118518.

Almost surely, 268100768 is an apocalyptic number.

It is an amenable number.

68100768 is an abundant number, since it is smaller than the sum of its proper divisors (125561610).

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

68100768 is a wasteful number, since it uses less digits than its factorization.

68100768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236477 (or 236466 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 68100768 is about 8252.3189468173. The cubic root of 68100768 is about 408.3670284379.

The spelling of 68100768 in words is "sixty-eight million, one hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 236461 472922 709383 945844 1418766 1891688 2128149 2837532 3783376 4256298 5675064 7566752 8512596 11350128 17025192 22700256 34050384 68100768