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27271104 = 2637103197
BaseRepresentation
bin110100000000…
…1111111000000
31220022111220220
41220001333000
523440133404
62412303040
7450541410
oct150017700
956274826
1027271104
1114437203
129171a80
13585ab63
14389c640
1525da4d9
hex1a01fc0

27271104 has 112 divisors (see below), whose sum is σ = 83685888. Its totient is φ = 7676928.

The previous prime is 27271067. The next prime is 27271129. The reversal of 27271104 is 40117272.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×272711042 = 1487426226757632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138334 + ... + 138530.

Almost surely, 227271104 is an apocalyptic number.

27271104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41842944).

27271104 is an abundant number, since it is smaller than the sum of its proper divisors (56414784).

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

27271104 is a wasteful number, since it uses less digits than its factorization.

27271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 27271104 is about 5222.1742598270. The cubic root of 27271104 is about 301.0007468626. Note that the first 3 decimals are identical.

Adding to 27271104 its reverse (40117272), we get a palindrome (67388376).

The spelling of 27271104 in words is "twenty-seven million, two hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 197 206 224 309 336 394 412 448 591 618 672 721 788 824 1182 1236 1344 1379 1442 1576 1648 2163 2364 2472 2758 2884 3152 3296 4137 4326 4728 4944 5516 5768 6304 6592 8274 8652 9456 9888 11032 11536 12608 16548 17304 18912 19776 20291 22064 23072 33096 34608 37824 40582 44128 46144 60873 66192 69216 81164 88256 121746 132384 138432 142037 162328 243492 264768 284074 324656 426111 486984 568148 649312 852222 973968 1136296 1298624 1704444 1947936 2272592 3408888 3895872 4545184 6817776 9090368 13635552 27271104