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112400505 = 32572391493
BaseRepresentation
bin1101011001100…
…01100001111001
321211111112111200
412230301201321
5212233304010
615053044413
72533250160
oct654614171
9254445450
10112400505
11584a1188
1231786709
131a395b99
1410cdc3d7
159d03cc0
hex6b31879

112400505 has 48 divisors (see below), whose sum is σ = 223741440. Its totient is φ = 51133824.

The previous prime is 112400479. The next prime is 112400527. The reversal of 112400505 is 505004211.

It is not a de Polignac number, because 112400505 - 29 = 112399993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74539 + ... + 76031.

It is an arithmetic number, because the mean of its divisors is an integer number (4661280).

Almost surely, 2112400505 is an apocalyptic number.

112400505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112400505 is a deficient number, since it is larger than the sum of its proper divisors (111340935).

112400505 is a wasteful number, since it uses less digits than its factorization.

112400505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 112400505 is about 10601.9104410479. The cubic root of 112400505 is about 482.6023371930.

Adding to 112400505 its reverse (505004211), we get a palindrome (617404716).

The spelling of 112400505 in words is "one hundred twelve million, four hundred thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 239 315 717 1195 1493 1673 2151 3585 4479 5019 7465 8365 10451 10755 13437 15057 22395 25095 31353 52255 67185 75285 94059 156765 356827 470295 1070481 1784135 2497789 3211443 5352405 7493367 12488945 16057215 22480101 37466835 112400505