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112604481 = 321117232909
BaseRepresentation
bin1101011011000…
…11010101000001
321211212220022100
412231203111001
5212311320411
615101301013
72535056643
oct655432501
9254786270
10112604481
1158620460
1231864769
131a437992
1410d52893
159d44456
hex6b63541

112604481 has 48 divisors (see below), whose sum is σ = 196110720. Its totient is φ = 61416960.

The previous prime is 112604417. The next prime is 112604483. The reversal of 112604481 is 184406211.

It is a happy number.

112604481 is a `hidden beast` number, since 1 + 12 + 604 + 48 + 1 = 666.

It is not a de Polignac number, because 112604481 - 26 = 112604417 is a prime.

It is a super-2 number, since 2×1126044812 = 25359538282558722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112604483) 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 47 ways as a sum of consecutive naturals, for example, 37255 + ... + 40163.

It is an arithmetic number, because the mean of its divisors is an integer number (4085640).

Almost surely, 2112604481 is an apocalyptic number.

112604481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112604481 is a deficient number, since it is larger than the sum of its proper divisors (83506239).

112604481 is a wasteful number, since it uses less digits than its factorization.

112604481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112604481 is about 10611.5258563507. The cubic root of 112604481 is about 482.8940909461.

The spelling of 112604481 in words is "one hundred twelve million, six hundred four thousand, four hundred eighty-one".

Divisors: 1 3 9 11 17 23 33 51 69 99 153 187 207 253 391 561 759 1173 1683 2277 2909 3519 4301 8727 12903 26181 31999 38709 49453 66907 95997 148359 200721 287991 445077 543983 602163 735977 1137419 1631949 2207931 3412257 4895847 6623793 10236771 12511609 37534827 112604481