Search a number
-
+
1155041112 = 233592393413
BaseRepresentation
bin100010011011000…
…1000011101011000
32222111102011112110
41010312020131120
54331142303422
6310340312320
740423454541
oct10466103530
92874364473
101155041112
11542a99535
122829a26a0
131553b27a4
14ad5894c8
156b60960c
hex44d88758

1155041112 has 64 divisors (see below), whose sum is σ = 2949696000. Its totient is φ = 376793984.

The previous prime is 1155041089. The next prime is 1155041123. The reversal of 1155041112 is 2111405511.

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 15 ways as a sum of consecutive naturals, for example, 336718 + ... + 340130.

It is an arithmetic number, because the mean of its divisors is an integer number (46089000).

Almost surely, 21155041112 is an apocalyptic number.

1155041112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155041112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474848000).

1155041112 is an abundant number, since it is smaller than the sum of its proper divisors (1794654888).

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

1155041112 is a wasteful number, since it uses less digits than its factorization.

1155041112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 1155041112 is about 33985.8957804558. The cubic root of 1155041112 is about 1049.2181971726.

Adding to 1155041112 its reverse (2111405511), we get a palindrome (3266446623).

The spelling of 1155041112 in words is "one billion, one hundred fifty-five million, forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 239 354 472 478 708 717 956 1416 1434 1912 2868 3413 5736 6826 10239 13652 14101 20478 27304 28202 40956 42303 56404 81912 84606 112808 169212 201367 338424 402734 604101 805468 815707 1208202 1610936 1631414 2416404 2447121 3262828 4832808 4894242 6525656 9788484 19576968 48126713 96253426 144380139 192506852 288760278 385013704 577520556 1155041112