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112840680 = 23351496311
BaseRepresentation
bin1101011100111…
…00111111101000
321212022220022110
412232130333220
5212341400210
615110322320
72540062401
oct656347750
9255286273
10112840680
1158771967
12319593a0
131a4bb344
1410db49a8
159d8e420
hex6b9cfe8

112840680 has 64 divisors (see below), whose sum is σ = 340848000. Its totient is φ = 29884160.

The previous prime is 112840669. The next prime is 112840681. The reversal of 112840680 is 86048211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (112840681) 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, 14725 + ... + 21035.

It is an arithmetic number, because the mean of its divisors is an integer number (5325750).

Almost surely, 2112840680 is an apocalyptic number.

112840680 is a gapful number since it is divisible by the number (10) 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 112840680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170424000).

112840680 is an abundant number, since it is smaller than the sum of its proper divisors (228007320).

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

112840680 is a wasteful number, since it uses less digits than its factorization.

112840680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 112840680 is about 10622.6493870409. The cubic root of 112840680 is about 483.2314944641.

Adding to 112840680 its reverse (86048211), we get a palindrome (198888891).

The spelling of 112840680 in words is "one hundred twelve million, eight hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3576 4470 5960 6311 8940 12622 17880 18933 25244 31555 37866 50488 63110 75732 94665 126220 151464 189330 252440 378660 757320 940339 1880678 2821017 3761356 4701695 5642034 7522712 9403390 11284068 14105085 18806780 22568136 28210170 37613560 56420340 112840680