Search a number
-
+
85963140 = 22335159191
BaseRepresentation
bin1010001111110…
…11000110000100
312222202101021000
411013323012010
5134001310030
612310253300
72062450254
oct507730604
9188671230
1085963140
114458441a
1224957230
1314a6a683
14b5b9964
157830860
hex51fb184

85963140 has 48 divisors (see below), whose sum is σ = 267442560. Its totient is φ = 22923360.

The previous prime is 85963133. The next prime is 85963151. The reversal of 85963140 is 4136958.

It is a super-2 number, since 2×859631402 = 14779322877319200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85963095 and 85963104.

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 15 ways as a sum of consecutive naturals, for example, 79056 + ... + 80135.

It is an arithmetic number, because the mean of its divisors is an integer number (5571720).

Almost surely, 285963140 is an apocalyptic number.

It is an amenable number.

85963140 is an abundant number, since it is smaller than the sum of its proper divisors (181479420).

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

85963140 is a wasteful number, since it uses less digits than its factorization.

85963140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159209 (or 159201 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85963140 is about 9271.6309244922. The cubic root of 85963140 is about 441.3374251306.

The spelling of 85963140 in words is "eighty-five million, nine hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 159191 318382 477573 636764 795955 955146 1432719 1591910 1910292 2387865 2865438 3183820 4298157 4775730 5730876 7163595 8596314 9551460 14327190 17192628 21490785 28654380 42981570 85963140