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27081216 = 2934653
BaseRepresentation
bin110011101001…
…1101000000000
31212221212110000
41213103220000
523413044331
62404240000
7446120661
oct147235000
955855400
1027081216
1114317578
1290a0000
1357c25b6
14384d368
15259e0e6
hex19d3a00

27081216 has 100 divisors (see below), whose sum is σ = 80954082. Its totient is φ = 9013248.

The previous prime is 27081211. The next prime is 27081233. The reversal of 27081216 is 61218072.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 1679616 = 5040^2 + 1296^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 27081216.

It is not an unprimeable number, because it can be changed into a prime (27081211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41146 + ... + 41798.

Almost surely, 227081216 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 27081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40477041).

27081216 is an abundant number, since it is smaller than the sum of its proper divisors (53872866).

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

27081216 is an frugal number, since it uses more digits than its factorization.

27081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 27081216 is about 5203.9615678827. The cubic root of 27081216 is about 300.3004989009.

Adding to 27081216 its reverse (61218072), we get a palindrome (88299288).

The spelling of 27081216 in words is "twenty-seven million, eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 653 768 864 1152 1296 1306 1536 1728 1959 2304 2592 2612 3456 3918 4608 5184 5224 5877 6912 7836 10368 10448 11754 13824 15672 17631 20736 20896 23508 31344 35262 41472 41792 47016 52893 62688 70524 83584 94032 105786 125376 141048 167168 188064 211572 250752 282096 334336 376128 423144 501504 564192 752256 846288 1003008 1128384 1504512 1692576 2256768 3009024 3385152 4513536 6770304 9027072 13540608 27081216