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68611600 = 2452171529
BaseRepresentation
bin1000001011011…
…10111000010000
311210002211102101
410011232320100
5120031032400
610450330144
71462121551
oct405567020
9153084371
1068611600
1135802a02
121ab89954
13112a38a5
149180328
15605456a
hex416ee10

68611600 has 30 divisors (see below), whose sum is σ = 164840330. Its totient is φ = 27444480.

The previous prime is 68611597. The next prime is 68611607. The reversal of 68611600 is 611686.

It can be written as a sum of positive squares in 3 ways, for example, as 2547216 + 66064384 = 1596^2 + 8128^2 .

It is not an unprimeable number, because it can be changed into a prime (68611607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85365 + ... + 86164.

Almost surely, 268611600 is an apocalyptic number.

It is an amenable number.

68611600 is an abundant number, since it is smaller than the sum of its proper divisors (96228730).

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

68611600 is a wasteful number, since it uses less digits than its factorization.

68611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171547 (or 171536 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 68611600 is about 8283.2119374069. The cubic root of 68611600 is about 409.3855559308.

The spelling of 68611600 in words is "sixty-eight million, six hundred eleven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 171529 343058 686116 857645 1372232 1715290 2744464 3430580 4288225 6861160 8576450 13722320 17152900 34305800 68611600