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27005418 = 232111771113
BaseRepresentation
bin110011100000…
…1000111101010
31212211000110200
41213001013222
523403133133
62402453030
7445353666
oct147010752
955730420
1027005418
1114275630
129064176
135796c4b
14382d8a6
152586913
hex19c11ea

27005418 has 96 divisors (see below), whose sum is σ = 69144192. Its totient is φ = 7526400.

The previous prime is 27005417. The next prime is 27005423. The reversal of 27005418 is 81450072.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27005391 and 27005400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27005411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238930 + ... + 239042.

It is an arithmetic number, because the mean of its divisors is an integer number (720252).

Almost surely, 227005418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27005418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34572096).

27005418 is an abundant number, since it is smaller than the sum of its proper divisors (42138774).

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

27005418 is a wasteful number, since it uses less digits than its factorization.

27005418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 27005418 is about 5196.6737438481. The cubic root of 27005418 is about 300.0200653246.

It can be divided in two parts, 270054 and 18, that added together give a palindrome (270072).

The spelling of 27005418 in words is "twenty-seven million, five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 71 99 102 113 142 153 187 198 213 226 306 339 374 426 561 639 678 781 1017 1122 1207 1243 1278 1562 1683 1921 2034 2343 2414 2486 3366 3621 3729 3842 4686 5763 7029 7242 7458 8023 10863 11187 11526 13277 14058 16046 17289 21131 21726 22374 24069 26554 34578 39831 42262 48138 63393 72207 79662 88253 119493 126786 136391 144414 176506 190179 238986 264759 272782 380358 409173 529518 794277 818346 1227519 1500301 1588554 2455038 3000602 4500903 9001806 13502709 27005418