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112673456 = 2477313781
BaseRepresentation
bin1101011011101…
…00001010110000
321212000101220222
412231310022300
5212321022311
615102552212
72535465020
oct655641260
9255011828
10112673456
1158668265
1231898668
131a4601ac
1410d6da80
159d59adb
hex6b742b0

112673456 has 40 divisors (see below), whose sum is σ = 252927264. Its totient is φ = 47623680.

The previous prime is 112673423. The next prime is 112673489. The reversal of 112673456 is 654376211.

It is an interprime number because it is at equal distance from previous prime (112673423) and next prime (112673489).

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 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 15066.

Almost surely, 2112673456 is an apocalyptic number.

112673456 is a gapful number since it is divisible by the number (16) 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 112673456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126463632).

112673456 is an abundant number, since it is smaller than the sum of its proper divisors (140253808).

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

112673456 is a wasteful number, since it uses less digits than its factorization.

112673456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13869 (or 13863 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 112673456 is about 10614.7753626725. The cubic root of 112673456 is about 482.9926684958.

The spelling of 112673456 in words is "one hundred twelve million, six hundred seventy-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 8176 13781 27562 55124 96467 110248 192934 220496 385868 771736 1006013 1543472 2012026 4024052 7042091 8048104 14084182 16096208 28168364 56336728 112673456