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112883904 = 2632727997
BaseRepresentation
bin1101011101001…
…11100011000000
321212102002121100
412232213203000
5212344241104
615111254400
72540332410
oct656474300
9255362540
10112883904
11587a1391
123197a400
131a504c13
1410dc6640
159d9c139
hex6ba78c0

112883904 has 84 divisors (see below), whose sum is σ = 369797584. Its totient is φ = 32251392.

The previous prime is 112883891. The next prime is 112883917. The reversal of 112883904 is 409388211.

It is an interprime number because it is at equal distance from previous prime (112883891) and next prime (112883917).

It is a tau number, because it is divible by the number of its divisors (84).

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

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 11 ways as a sum of consecutive naturals, for example, 9967 + ... + 18030.

Almost surely, 2112883904 is an apocalyptic number.

112883904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112883904 is an abundant number, since it is smaller than the sum of its proper divisors (256913680).

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

112883904 is a wasteful number, since it uses less digits than its factorization.

112883904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28022 (or 28009 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 112883904 is about 10624.6837129394. The cubic root of 112883904 is about 483.2931877344.

The spelling of 112883904 in words is "one hundred twelve million, eight hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 27997 55994 83991 111988 167982 195979 223976 251973 335964 391958 447952 503946 587937 671928 783916 895904 1007892 1175874 1343856 1567832 1763811 1791808 2015784 2351748 2687712 3135664 3527622 4031568 4703496 5375424 6271328 7055244 8063136 9406992 12542656 14110488 16126272 18813984 28220976 37627968 56441952 112883904