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85718640 = 24357237197
BaseRepresentation
bin1010001101111…
…11011001110000
312222021221212110
411012333121300
5133420444030
612301125320
72060411400
oct506773160
9188257773
1085718640
1144427757
1224859840
13149b32b7
14b554800
1577d31b0
hex51bf670

85718640 has 240 divisors, whose sum is σ = 319077792. Its totient is φ = 18966528.

The previous prime is 85718617. The next prime is 85718683. The reversal of 85718640 is 4681758.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435022 + ... + 435218.

Almost surely, 285718640 is an apocalyptic number.

85718640 is a gapful number since it is divisible by the number (80) 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 85718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159538896).

85718640 is an abundant number, since it is smaller than the sum of its proper divisors (233359152).

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

85718640 is a wasteful number, since it uses less digits than its factorization.

85718640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 85718640 is about 9258.4361530444. The cubic root of 85718640 is about 440.9186042772.

The spelling of 85718640 in words is "eighty-five million, seven hundred eighteen thousand, six hundred forty".