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85775340 = 22357331617
BaseRepresentation
bin1010001110011…
…01001111101100
312222101211122110
411013031033230
5133424302330
612302244020
72061035610
oct507151754
9188354573
1085775340
1144466312
1224886610
1314a03051
14b56b340
1577e4db0
hex51cd3ec

85775340 has 96 divisors (see below), whose sum is σ = 275756544. Its totient is φ = 19514880.

The previous prime is 85775317. The next prime is 85775341. The reversal of 85775340 is 4357758.

It is not an unprimeable number, because it can be changed into a prime (85775341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138712 + ... + 139328.

It is an arithmetic number, because the mean of its divisors is an integer number (2872464).

Almost surely, 285775340 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 85775340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137878272).

85775340 is an abundant number, since it is smaller than the sum of its proper divisors (189981204).

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

85775340 is a wasteful number, since it uses less digits than its factorization.

85775340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 85775340 is about 9261.4977190517. The cubic root of 85775340 is about 441.0158004633.

The spelling of 85775340 in words is "eighty-five million, seven hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 331 420 617 662 993 1234 1324 1655 1851 1986 2317 2468 3085 3310 3702 3972 4319 4634 4965 6170 6620 6951 7404 8638 9255 9268 9930 11585 12340 12957 13902 17276 18510 19860 21595 23170 25914 27804 34755 37020 43190 46340 51828 64785 69510 86380 129570 139020 204227 259140 408454 612681 816908 1021135 1225362 1429589 2042270 2450724 2859178 3063405 4084540 4288767 5718356 6126810 7147945 8577534 12253620 14295890 17155068 21443835 28591780 42887670 85775340