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27114780 = 22357115869
BaseRepresentation
bin110011101101…
…1110100011100
31220000120111010
41213123310130
523420133110
62405055220
7446320560
oct147336434
956016433
1027114780
111433a810
1290b7510
135804964
14385b6a0
1525a9020
hex19dbd1c

27114780 has 96 divisors (see below), whose sum is σ = 94671360. Its totient is φ = 5633280.

The previous prime is 27114761. The next prime is 27114781. The reversal of 27114780 is 8741172.

It is a super-2 number, since 2×271147802 = 1470422588896800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27114781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686 + ... + 7554.

It is an arithmetic number, because the mean of its divisors is an integer number (986160).

Almost surely, 227114780 is an apocalyptic number.

27114780 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 27114780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47335680).

27114780 is an abundant number, since it is smaller than the sum of its proper divisors (67556580).

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

27114780 is a wasteful number, since it uses less digits than its factorization.

27114780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 27114780 is about 5207.1854201670. The cubic root of 27114780 is about 300.4245101316.

It can be divided in two parts, 271 and 14780, that added together give a palindrome (15051).

The spelling of 27114780 in words is "twenty-seven million, one hundred fourteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 5869 11738 17607 23476 29345 35214 41083 58690 64559 70428 82166 88035 117380 123249 129118 164332 176070 193677 205415 246498 258236 322795 352140 387354 410830 451913 492996 616245 645590 774708 821660 903826 968385 1232490 1291180 1355739 1807652 1936770 2259565 2464980 2711478 3873540 4519130 5422956 6778695 9038260 13557390 27114780