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27312012 = 22337213397
BaseRepresentation
bin110100000101…
…1111110001100
31220101121001000
41220023332030
523442441022
62413220300
7451101600
oct150137614
956347030
1027312012
1114464a12
129191690
135873670
1438ad500
1525e76ac
hex1a0bf8c

27312012 has 144 divisors (see below), whose sum is σ = 88929120. Its totient is φ = 7185024.

The previous prime is 27312011. The next prime is 27312083. The reversal of 27312012 is 21021372.

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 (27312011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 68598 + ... + 68994.

Almost surely, 227312012 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 27312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44464560).

27312012 is an abundant number, since it is smaller than the sum of its proper divisors (61617108).

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

27312012 is a wasteful number, since it uses less digits than its factorization.

27312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

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

The square root of 27312012 is about 5226.0895514715. The cubic root of 27312012 is about 301.1511769883.

Adding to 27312012 its reverse (21021372), we get a palindrome (48333384).

The spelling of 27312012 in words is "twenty-seven million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 397 441 468 546 588 637 702 756 794 819 882 1092 1191 1274 1323 1404 1588 1638 1764 1911 2382 2457 2548 2646 2779 3276 3573 3822 4764 4914 5161 5292 5558 5733 7146 7644 8337 9828 10322 10719 11116 11466 14292 15483 16674 17199 19453 20644 21438 22932 25011 30966 33348 34398 36127 38906 42876 46449 50022 58359 61932 68796 72254 75033 77812 92898 100044 108381 116718 139347 144508 150066 175077 185796 216762 233436 252889 278694 300132 325143 350154 433524 505778 525231 557388 650286 700308 758667 975429 1011556 1050462 1300572 1517334 1950858 2100924 2276001 3034668 3901716 4552002 6828003 9104004 13656006 27312012