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27034112 = 29719397
BaseRepresentation
bin110011100100…
…0001000000000
31212212110211102
41213020020000
523410042422
62403233532
7445533440
oct147101000
955773742
1027034112
1114295146
1290788a8
1357a7021
14383a120
152590192
hex19c8200

27034112 has 80 divisors (see below), whose sum is σ = 65144640. Its totient is φ = 10948608.

The previous prime is 27034103. The next prime is 27034151. The reversal of 27034112 is 21143072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67898 + ... + 68294.

It is an arithmetic number, because the mean of its divisors is an integer number (814308).

Almost surely, 227034112 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 27034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32572320).

27034112 is an abundant number, since it is smaller than the sum of its proper divisors (38110528).

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

27034112 is an equidigital number, since it uses as much as digits as its factorization.

27034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 27034112 is about 5199.4338153303. The cubic root of 27034112 is about 300.1262875714.

Adding to 27034112 its reverse (21143072), we get a palindrome (48177184).

The spelling of 27034112 in words is "twenty-seven million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 397 448 512 532 608 794 896 1064 1216 1588 1792 2128 2432 2779 3176 3584 4256 4864 5558 6352 7543 8512 9728 11116 12704 15086 17024 22232 25408 30172 34048 44464 50816 52801 60344 68096 88928 101632 105602 120688 177856 203264 211204 241376 355712 422408 482752 711424 844816 965504 1422848 1689632 1931008 3379264 3862016 6758528 13517056 27034112