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1027627116 = 223412817433
BaseRepresentation
bin111101010000000…
…101100001101100
32122121122212101120
4331100011201230
54101033031431
6245545340540
734315454265
oct7520054154
92577585346
101027627116
1148808350a
12248197750
13134b910a9
149a69d96c
156033c196
hex3d40586c

1027627116 has 48 divisors (see below), whose sum is σ = 2465352288. Its totient is φ = 332953600.

The previous prime is 1027627099. The next prime is 1027627207. The reversal of 1027627116 is 6117267201.

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 15 ways as a sum of consecutive naturals, for example, 134536 + ... + 141968.

It is an arithmetic number, because the mean of its divisors is an integer number (51361506).

Almost surely, 21027627116 is an apocalyptic number.

It is an amenable number.

1027627116 is an abundant number, since it is smaller than the sum of its proper divisors (1437725172).

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

1027627116 is a wasteful number, since it uses less digits than its factorization.

1027627116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1027627116 is about 32056.6235901412. The cubic root of 1027627116 is about 1009.1255104175.

The spelling of 1027627116 in words is "one billion, twenty-seven million, six hundred twenty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 281 492 562 843 1124 1686 3372 7433 11521 14866 22299 23042 29732 34563 44598 46084 69126 89196 138252 304753 609506 914259 1219012 1828518 2088673 3657036 4177346 6266019 8354692 12532038 25064076 85635593 171271186 256906779 342542372 513813558 1027627116