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65680384 = 210731117
BaseRepresentation
bin1111101010001…
…1010000000000
311120120220112211
43322203100000
5113303233014
610303431504
71425163000
oct372432000
9146526484
1065680384
1134090710
1219bb5594
13107b8643
148a1a000
155b75cc4
hex3ea3400

65680384 has 176 divisors, whose sum is σ = 176860800. Its totient is φ = 24084480.

The previous prime is 65680379. The next prime is 65680399. The reversal of 65680384 is 48308656.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3863544 + ... + 3863560.

Almost surely, 265680384 is an apocalyptic number.

65680384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88430400).

65680384 is an abundant number, since it is smaller than the sum of its proper divisors (111180416).

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

65680384 is a wasteful number, since it uses less digits than its factorization.

65680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 65680384 is about 8104.3435267762. The cubic root of 65680384 is about 403.4706002440.

The spelling of 65680384 in words is "sixty-five million, six hundred eighty thousand, three hundred eighty-four".