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27269136 = 243453397
BaseRepresentation
bin110100000000…
…1100000010000
31220022102020000
41220001200100
523440103021
62412250000
7450532566
oct150014020
956272200
1027269136
1114435784
129170900
135859cab
14389ba36
1525d9b26
hex1a01810

27269136 has 100 divisors (see below), whose sum is σ = 80616492. Its totient is φ = 8895744.

The previous prime is 27269131. The next prime is 27269171. The reversal of 27269136 is 63196272.

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 8294400 = 4356^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27269136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27269131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68490 + ... + 68886.

Almost surely, 227269136 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 27269136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40308246).

27269136 is an abundant number, since it is smaller than the sum of its proper divisors (53347356).

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

27269136 is a wasteful number, since it uses less digits than its factorization.

27269136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 27269136 is about 5221.9858291650. The cubic root of 27269136 is about 300.9935061862.

The spelling of 27269136 in words is "twenty-seven million, two hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 397 424 432 477 636 648 794 848 954 1191 1272 1296 1431 1588 1908 2382 2544 2862 3176 3573 3816 4293 4764 5724 6352 7146 7632 8586 9528 10719 11448 14292 17172 19056 21041 21438 22896 28584 32157 34344 42082 42876 57168 63123 64314 68688 84164 85752 126246 128628 168328 171504 189369 252492 257256 336656 378738 504984 514512 568107 757476 1009968 1136214 1514952 1704321 2272428 3029904 3408642 4544856 6817284 9089712 13634568 27269136