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85766140 = 2254288307
BaseRepresentation
bin1010001110010…
…10111111111100
312222101101000201
411013022333330
5133424004030
612302133244
72061000025
oct507127774
9188341021
1085766140
114445a409
1224881224
13149cbac5
14b567c4c
1577e22ca
hex51caffc

85766140 has 12 divisors (see below), whose sum is σ = 180108936. Its totient is φ = 34306448.

The previous prime is 85766053. The next prime is 85766147. The reversal of 85766140 is 4166758.

It is a self number, because there is not a number n which added to its sum of digits gives 85766140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85766147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2144134 + ... + 2144173.

It is an arithmetic number, because the mean of its divisors is an integer number (15009078).

Almost surely, 285766140 is an apocalyptic number.

It is an amenable number.

85766140 is an abundant number, since it is smaller than the sum of its proper divisors (94342796).

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

85766140 is a wasteful number, since it uses less digits than its factorization.

85766140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288316 (or 4288314 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 85766140 is about 9261.0010258071. The cubic root of 85766140 is about 441.0000325653. Note that the first 4 decimals are identical.

The spelling of 85766140 in words is "eighty-five million, seven hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4288307 8576614 17153228 21441535 42883070 85766140