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68920900 = 22521674127
BaseRepresentation
bin1000001101110…
…10011001000100
311210200112200221
410012322121010
5120120432100
610501114124
71464550366
oct406723104
9153615627
1068920900
11359a4324
121b0b8944
13113815c9
149220d36
1560b601a
hex41ba644

68920900 has 36 divisors (see below), whose sum is σ = 150490368. Its totient is φ = 27396640.

The previous prime is 68920889. The next prime is 68920913. The reversal of 68920900 is 902986.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14637 + ... + 18763.

It is an arithmetic number, because the mean of its divisors is an integer number (4180288).

Almost surely, 268920900 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 68920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75245184).

68920900 is an abundant number, since it is smaller than the sum of its proper divisors (81569468).

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

68920900 is a wasteful number, since it uses less digits than its factorization.

68920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 68920900 is about 8301.8612370962. The cubic root of 68920900 is about 409.9998017052. Note that the first 3 decimals are identical.

The spelling of 68920900 in words is "sixty-eight million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 1670 3340 4127 4175 8254 8350 16508 16700 20635 41270 82540 103175 206350 412700 689209 1378418 2756836 3446045 6892090 13784180 17230225 34460450 68920900