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27068256 = 2535592
BaseRepresentation
bin110011101000…
…0011101100000
31212221012200000
41213100131200
523412141011
62404100000
7446035125
oct147203540
955835600
1027068256
1114308866
129094600
1357b9727
14384874c
15259a356
hex19d0760

27068256 has 108 divisors (see below), whose sum is σ = 81202212. Its totient is φ = 8869824.

The previous prime is 27068243. The next prime is 27068257. The reversal of 27068256 is 65286072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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 27068256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27068257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 458755 + ... + 458813.

Almost surely, 227068256 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 27068256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40601106).

27068256 is an abundant number, since it is smaller than the sum of its proper divisors (54133956).

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

27068256 is an frugal number, since it uses more digits than its factorization.

27068256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 27068256 is about 5202.7162136715. The cubic root of 27068256 is about 300.2525872725.

The spelling of 27068256 in words is "twenty-seven million, sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 243 288 324 354 432 472 486 531 648 708 864 944 972 1062 1296 1416 1593 1888 1944 2124 2592 2832 3186 3481 3888 4248 4779 5664 6372 6962 7776 8496 9558 10443 12744 13924 14337 16992 19116 20886 25488 27848 28674 31329 38232 41772 50976 55696 57348 62658 76464 83544 93987 111392 114696 125316 152928 167088 187974 229392 250632 281961 334176 375948 458784 501264 563922 751896 845883 1002528 1127844 1503792 1691766 2255688 3007584 3383532 4511376 6767064 9022752 13534128 27068256