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112676940 = 223353153127
BaseRepresentation
bin1101011011101…
…01000001001100
321212000120201000
412231311001030
5212321130230
615103020300
72535511125
oct655650114
9255016630
10112676940
115866a942
123189a690
131a46195c
1410d7104c
159d5ab60
hex6b7504c

112676940 has 192 divisors, whose sum is σ = 371589120. Its totient is φ = 28304640.

The previous prime is 112676923. The next prime is 112676947. The reversal of 112676940 is 49676211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112676895 and 112676904.

It is not an unprimeable number, because it can be changed into a prime (112676947) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 887157 + ... + 887283.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2112676940 is an apocalyptic number.

112676940 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 112676940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

112676940 is an abundant number, since it is smaller than the sum of its proper divisors (258912180).

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

112676940 is a wasteful number, since it uses less digits than its factorization.

112676940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 112676940 is about 10614.9394722721. The cubic root of 112676940 is about 482.9976466843.

The spelling of 112676940 in words is "one hundred twelve million, six hundred seventy-six thousand, nine hundred forty".