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112786920 = 23325313297
BaseRepresentation
bin1101011100011…
…11110111101000
321212020011120100
412232033313220
5212333140140
615105225400
72536446561
oct656176750
9255204510
10112786920
1158735534
1231932260
131a49ca2c
1410d9d168
159d7d530
hex6b8fde8

112786920 has 48 divisors (see below), whose sum is σ = 366558660. Its totient is φ = 30076416.

The previous prime is 112786913. The next prime is 112786931. The reversal of 112786920 is 29687211.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 13704804 = 9954^2 + 3702^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156289 + ... + 157008.

Almost surely, 2112786920 is an apocalyptic number.

112786920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112786920 is an abundant number, since it is smaller than the sum of its proper divisors (253771740).

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

112786920 is a wasteful number, since it uses less digits than its factorization.

112786920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313314 (or 313307 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 112786920 is about 10620.1186434051. The cubic root of 112786920 is about 483.1547412583.

The spelling of 112786920 in words is "one hundred twelve million, seven hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 313297 626594 939891 1253188 1566485 1879782 2506376 2819673 3132970 3759564 4699455 5639346 6265940 7519128 9398910 11278692 12531880 14098365 18797820 22557384 28196730 37595640 56393460 112786920