Search a number
-
+
85108640 = 2553117159
BaseRepresentation
bin1010001001010…
…10011110100000
312221010222002212
411010222132200
5133241434030
612240101252
72052261101
oct504523640
9187128085
1085108640
1144050421
1224604828
131482b756
14b4363a8
157712595
hex512a7a0

85108640 has 48 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 32943360.

The previous prime is 85108633. The next prime is 85108643. The reversal of 85108640 is 4680158.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 85108597 and 85108606.

It is not an unprimeable number, because it can be changed into a prime (85108643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3620 + ... + 13539.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 285108640 is an apocalyptic number.

85108640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85108640 is an abundant number, since it is smaller than the sum of its proper divisors (122458720).

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

85108640 is a wasteful number, since it uses less digits than its factorization.

85108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205 (or 17197 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85108640 is about 9225.4344071160. The cubic root of 85108640 is about 439.8702096523.

Adding to 85108640 its reverse (4680158), we get a palindrome (89788798).

The spelling of 85108640 in words is "eighty-five million, one hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 17159 34318 68636 85795 137272 171590 274544 343180 531929 549088 686360 1063858 1372720 2127716 2659645 2745440 4255432 5319290 8510864 10638580 17021728 21277160 42554320 85108640