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112402304 = 277331379
BaseRepresentation
bin1101011001100…
…01111110000000
321211111121222022
412230301332000
5212233333204
615053101012
72533255340
oct654617600
9254447868
10112402304
11584a2573
1231787768
131a396951
1410cdcd20
159d045be
hex6b31f80

112402304 has 64 divisors (see below), whose sum is σ = 257366400. Its totient is φ = 47900160.

The previous prime is 112402273. The next prime is 112402307. The reversal of 112402304 is 403204211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112402307) 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 7 ways as a sum of consecutive naturals, for example, 296387 + ... + 296765.

It is an arithmetic number, because the mean of its divisors is an integer number (4021350).

Almost surely, 2112402304 is an apocalyptic number.

112402304 is a gapful number since it is divisible by the number (14) 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 112402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128683200).

112402304 is an abundant number, since it is smaller than the sum of its proper divisors (144964096).

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

112402304 is an equidigital number, since it uses as much as digits as its factorization.

112402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 112402304 is about 10601.9952839076. The cubic root of 112402304 is about 482.6049119055.

Adding to 112402304 its reverse (403204211), we get a palindrome (515606515).

The spelling of 112402304 in words is "one hundred twelve million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 331 379 448 662 758 896 1324 1516 2317 2648 2653 3032 4634 5296 5306 6064 9268 10592 10612 12128 18536 21184 21224 24256 37072 42368 42448 48512 74144 84896 125449 148288 169792 250898 296576 339584 501796 878143 1003592 1756286 2007184 3512572 4014368 7025144 8028736 14050288 16057472 28100576 56201152 112402304