Search a number
-
+
85764340 = 2254288217
BaseRepresentation
bin1010001110010…
…10100011110100
312222101021120001
411013022203310
5133423424330
612302121044
72060661544
oct507124364
9188337501
1085764340
1144459022
1224880184
13149cb03c
14b567324
1577e19ca
hex51ca8f4

85764340 has 12 divisors (see below), whose sum is σ = 180105156. Its totient is φ = 34305728.

The previous prime is 85764313. The next prime is 85764359. The reversal of 85764340 is 4346758.

It can be written as a sum of positive squares in 2 ways, for example, as 34527376 + 51236964 = 5876^2 + 7158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85764340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2144089 + ... + 2144128.

It is an arithmetic number, because the mean of its divisors is an integer number (15008763).

Almost surely, 285764340 is an apocalyptic number.

It is an amenable number.

85764340 is an abundant number, since it is smaller than the sum of its proper divisors (94340816).

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

85764340 is a wasteful number, since it uses less digits than its factorization.

85764340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288226 (or 4288224 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 85764340 is about 9260.9038435781. The cubic root of 85764340 is about 440.9969474099.

The spelling of 85764340 in words is "eighty-five million, seven hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 4288217 8576434 17152868 21441085 42882170 85764340