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27345780 = 223257111973
BaseRepresentation
bin110100001010…
…0001101110100
31220110022100200
41220110031310
524000031110
62414040500
7451302210
oct150241564
956408320
1027345780
1114488320
1291a9130
135885b47
1438bb940
1526026c0
hex1a14374

27345780 has 144 divisors (see below), whose sum is σ = 103469184. Its totient is φ = 5679360.

The previous prime is 27345763. The next prime is 27345803. The reversal of 27345780 is 8754372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12874 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (718536).

Almost surely, 227345780 is an apocalyptic number.

27345780 is a gapful number since it is divisible by the number (20) 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 27345780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51734592).

27345780 is an abundant number, since it is smaller than the sum of its proper divisors (76123404).

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

27345780 is a wasteful number, since it uses less digits than its factorization.

27345780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 27345780 is about 5229.3192673617. The cubic root of 27345780 is about 301.2752382108.

The spelling of 27345780 in words is "twenty-seven million, three hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1973 1980 2310 2772 3465 3946 4620 5919 6930 7892 9865 11838 13811 13860 17757 19730 21703 23676 27622 29595 35514 39460 41433 43406 55244 59190 65109 69055 71028 82866 86812 88785 108515 118380 124299 130218 138110 151921 165732 177570 195327 207165 217030 248598 260436 276220 303842 325545 355140 390654 414330 434060 455763 497196 607684 621495 651090 759605 781308 828660 911526 976635 1242990 1302180 1367289 1519210 1823052 1953270 2278815 2485980 2734578 3038420 3906540 4557630 5469156 6836445 9115260 13672890 27345780