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68639600 = 24521011699
BaseRepresentation
bin1000001011101…
…01101101110000
311210011020211102
410011311231300
5120032431400
610451103532
71462266311
oct405655560
9153136742
1068639600
1135821a47
121aba1ba8
13112b3563
14918a608
15605c9d5
hex4175b70

68639600 has 60 divisors (see below), whose sum is σ = 166637400. Its totient is φ = 27168000.

The previous prime is 68639587. The next prime is 68639621. The reversal of 68639600 is 693686.

It is a happy number.

It is a super-2 number, since 2×686396002 = 9422789376320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39551 + ... + 41249.

It is an arithmetic number, because the mean of its divisors is an integer number (2777290).

Almost surely, 268639600 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 68639600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83318700).

68639600 is an abundant number, since it is smaller than the sum of its proper divisors (97997800).

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

68639600 is a wasteful number, since it uses less digits than its factorization.

68639600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 68639600 is about 8284.9019306205. The cubic root of 68639600 is about 409.4412376553.

The spelling of 68639600 in words is "sixty-eight million, six hundred thirty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 1699 2020 2525 3398 4040 5050 6796 8080 8495 10100 13592 16990 20200 27184 33980 40400 42475 67960 84950 135920 169900 171599 339800 343198 679600 686396 857995 1372792 1715990 2745584 3431980 4289975 6863960 8579950 13727920 17159900 34319800 68639600