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27230112 = 25327131039
BaseRepresentation
bin110011111011…
…1111110100000
31220020102200200
41213313332200
523432330422
62411345200
7450311040
oct147677640
956212620
1027230112
1114409428
129152200
1358452c0
14388b720
1525cd2ac
hex19f7fa0

27230112 has 144 divisors (see below), whose sum is σ = 95397120. Its totient is φ = 7174656.

The previous prime is 27230111. The next prime is 27230117. The reversal of 27230112 is 21103272.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (27230111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25689 + ... + 26727.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 227230112 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 27230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47698560).

27230112 is an abundant number, since it is smaller than the sum of its proper divisors (68167008).

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

27230112 is a wasteful number, since it uses less digits than its factorization.

27230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 27230112 is about 5218.2479818422. The cubic root of 27230112 is about 300.8498568709.

Adding to 27230112 its reverse (21103272), we get a palindrome (48333384).

The spelling of 27230112 in words is "twenty-seven million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1039 1092 1248 1456 1638 1872 2016 2078 2184 2912 3117 3276 3744 4156 4368 6234 6552 7273 8312 8736 9351 12468 13104 13507 14546 16624 18702 21819 24936 26208 27014 29092 33248 37404 40521 43638 49872 54028 58184 65457 74808 81042 87276 94549 99744 108056 116368 121563 130914 149616 162084 174552 189098 216112 232736 243126 261828 283647 299232 324168 349104 378196 432224 486252 523656 567294 648336 698208 756392 850941 972504 1047312 1134588 1296672 1512784 1701882 1945008 2094624 2269176 3025568 3403764 3890016 4538352 6807528 9076704 13615056 27230112