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68985184 = 2517211601
BaseRepresentation
bin1000001110010…
…10000101100000
311210210210212211
410013022011200
5120130011214
610502331504
71465235662
oct407120540
9153723784
1068985184
1135a38654
121b129b94
13113a4948
14923a532
1560ca0c4
hex41ca160

68985184 has 48 divisors (see below), whose sum is σ = 144725616. Its totient is φ = 32256000.

The previous prime is 68985179. The next prime is 68985187. The reversal of 68985184 is 48158986.

It is a super-2 number, since 2×689851842 = 9517911223027712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68985187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114484 + ... + 115084.

It is an arithmetic number, because the mean of its divisors is an integer number (3015117).

Almost surely, 268985184 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 68985184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72362808).

68985184 is an abundant number, since it is smaller than the sum of its proper divisors (75740432).

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

68985184 is a wasteful number, since it uses less digits than its factorization.

68985184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its digits is 552960, while the sum is 49.

The square root of 68985184 is about 8305.7319966394. The cubic root of 68985184 is about 410.1272339602.

It can be divided in two parts, 68985 and 184, that added together give a square (69169 = 2632).

The spelling of 68985184 in words is "sixty-eight million, nine hundred eighty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 211 272 422 544 601 844 1202 1688 2404 3376 3587 4808 6752 7174 9616 10217 14348 19232 20434 28696 40868 57392 81736 114784 126811 163472 253622 326944 507244 1014488 2028976 2155787 4057952 4311574 8623148 17246296 34492592 68985184