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112830732 = 22357223103
BaseRepresentation
bin1101011100110…
…10100100001100
321212022101200000
412232122210030
5212341040412
615110204300
72540021400
oct656324414
9255271600
10112830732
1158765443
1231953690
131a4b6961
1410db1100
159d8b4dc
hex6b9a90c

112830732 has 216 divisors, whose sum is σ = 362509056. Its totient is φ = 30536352.

The previous prime is 112830727. The next prime is 112830763. The reversal of 112830732 is 237038211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112830696 and 112830705.

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 71 ways as a sum of consecutive naturals, for example, 1095393 + ... + 1095495.

Almost surely, 2112830732 is an apocalyptic number.

112830732 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 112830732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181254528).

112830732 is an abundant number, since it is smaller than the sum of its proper divisors (249678324).

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

112830732 is a wasteful number, since it uses less digits than its factorization.

112830732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 112830732 is about 10622.1811319521. The cubic root of 112830732 is about 483.2172935330.

Adding to 112830732 its reverse (237038211), we get a palindrome (349868943).

The spelling of 112830732 in words is "one hundred twelve million, eight hundred thirty thousand, seven hundred thirty-two".