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27308016 = 2434191109
BaseRepresentation
bin110100000101…
…0111111110000
31220101101120000
41220022333300
523442324031
62413150000
7451054131
oct150127760
956341500
1027308016
1114461a0a
12918b300
1358718b8
1438abc88
1525e63e6
hex1a0aff0

27308016 has 100 divisors (see below), whose sum is σ = 83272200. Its totient is φ = 8615808.

The previous prime is 27307999. The next prime is 27308023. The reversal of 27308016 is 61080372.

It is a super-3 number, since 3×273080163 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 24070 + ... + 25178.

It is an arithmetic number, because the mean of its divisors is an integer number (832722).

Almost surely, 227308016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27308016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41636100).

27308016 is an abundant number, since it is smaller than the sum of its proper divisors (55964184).

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

27308016 is a wasteful number, since it uses less digits than its factorization.

27308016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27308016 is about 5225.7072248644. The cubic root of 27308016 is about 301.1364892043.

Adding to 27308016 its reverse (61080372), we get a palindrome (88388388).

The spelling of 27308016 in words is "twenty-seven million, three hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1109 1296 1368 1539 2052 2218 2736 3078 3327 4104 4436 6156 6654 8208 8872 9981 12312 13308 17744 19962 21071 24624 26616 29943 39924 42142 53232 59886 63213 79848 84284 89829 119772 126426 159696 168568 179658 189639 239544 252852 337136 359316 379278 479088 505704 568917 718632 758556 1011408 1137834 1437264 1517112 1706751 2275668 3034224 3413502 4551336 6827004 9102672 13654008 27308016