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112332740 = 225133711677
BaseRepresentation
bin1101011001000…
…00111111000100
321211101002112212
412230200333010
5212224121430
615051402552
72532545462
oct654407704
9254332485
10112332740
1158455283
1231753458
131a3710a0
1410cc1832
159cddb95
hex6b20fc4

112332740 has 48 divisors (see below), whose sum is σ = 260933232. Its totient is φ = 40352256.

The previous prime is 112332733. The next prime is 112332761. The reversal of 112332740 is 47233211.

It can be written as a sum of positive squares in 8 ways, for example, as 2795584 + 109537156 = 1672^2 + 10466^2 .

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, 3782 + ... + 15458.

It is an arithmetic number, because the mean of its divisors is an integer number (5436109).

Almost surely, 2112332740 is an apocalyptic number.

112332740 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 112332740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130466616).

112332740 is an abundant number, since it is smaller than the sum of its proper divisors (148600492).

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

112332740 is a wasteful number, since it uses less digits than its factorization.

112332740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11734 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 112332740 is about 10598.7140729430. The cubic root of 112332740 is about 482.5053325227.

Adding to 112332740 its reverse (47233211), we get a palindrome (159565951).

The spelling of 112332740 in words is "one hundred twelve million, three hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 11677 23354 46708 58385 116770 151801 233540 303602 432049 607204 759005 864098 1518010 1728196 2160245 3036020 4320490 5616637 8640980 11233274 22466548 28083185 56166370 112332740