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1085112180 = 223352009467
BaseRepresentation
bin100000010101101…
…0111111101110100
32210121211102002000
41000223113331310
54210242042210
6255401415300
735614205235
oct10053277564
92717742060
101085112180
11507576929
1226349a530
13143a6a419
14a418508c
15653e4ac0
hex40ad7f74

1085112180 has 48 divisors (see below), whose sum is σ = 3375906240. Its totient is φ = 289363104.

The previous prime is 1085112179. The next prime is 1085112187. The reversal of 1085112180 is 812115801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085112187) 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 15 ways as a sum of consecutive naturals, for example, 1004194 + ... + 1005273.

It is an arithmetic number, because the mean of its divisors is an integer number (70331380).

Almost surely, 21085112180 is an apocalyptic number.

1085112180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085112180 is an abundant number, since it is smaller than the sum of its proper divisors (2290794060).

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

1085112180 is a wasteful number, since it uses less digits than its factorization.

1085112180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009485 (or 2009477 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 1085112180 is about 32941.0409671583. The cubic root of 1085112180 is about 1027.6018546800.

Adding to 1085112180 its reverse (812115801), we get a palindrome (1897227981).

The spelling of 1085112180 in words is "one billion, eighty-five million, one hundred twelve thousand, one hundred eighty".

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 2009467 4018934 6028401 8037868 10047335 12056802 18085203 20094670 24113604 30142005 36170406 40189340 54255609 60284010 72340812 90426015 108511218 120568020 180852030 217022436 271278045 361704060 542556090 1085112180