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66940672 = 282311369
BaseRepresentation
bin1111111101011…
…0111100000000
311122221221100011
43333112330000
5114114100142
610350434304
71441662211
oct377267400
9148857304
1066940672
1134871577
121a502994
1310b3a186
148c67408
155d24417
hex3fd6f00

66940672 has 36 divisors (see below), whose sum is σ = 139441680. Its totient is φ = 32012288.

The previous prime is 66940639. The next prime is 66940703. The reversal of 66940672 is 27604966.

It is a super-3 number, since 3×669406723 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204 + ... + 11572.

It is an arithmetic number, because the mean of its divisors is an integer number (3873380).

Almost surely, 266940672 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 66940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69720840).

66940672 is an abundant number, since it is smaller than the sum of its proper divisors (72501008).

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

66940672 is a wasteful number, since it uses less digits than its factorization.

66940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408 (or 11394 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 66940672 is about 8181.7279348558. The cubic root of 66940672 is about 406.0348922911.

The spelling of 66940672 in words is "sixty-six million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 5888 11369 22738 45476 90952 181904 261487 363808 522974 727616 1045948 1455232 2091896 2910464 4183792 8367584 16735168 33470336 66940672