Search a number
-
+
27910656 = 2934673
BaseRepresentation
bin110101001111…
…0001000000000
31221112000020000
41222132020000
524121120111
62434120000
7456144114
oct152361000
957460200
1027910656
1114833764
129420000
135a22ca7
1439c7744
1526b4c56
hex1a9e200

27910656 has 100 divisors (see below), whose sum is σ = 83429742. Its totient is φ = 9289728.

The previous prime is 27910637. The next prime is 27910681. The reversal of 27910656 is 65601972.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 2509056 = 5040^2 + 1584^2 .

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 27910656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41136 + ... + 41808.

Almost surely, 227910656 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 27910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41714871).

27910656 is an abundant number, since it is smaller than the sum of its proper divisors (55519086).

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

27910656 is an frugal number, since it uses more digits than its factorization.

27910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 27910656 is about 5283.0536624191. The cubic root of 27910656 is about 303.3355756654.

The spelling of 27910656 in words is "twenty-seven million, nine hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 673 768 864 1152 1296 1346 1536 1728 2019 2304 2592 2692 3456 4038 4608 5184 5384 6057 6912 8076 10368 10768 12114 13824 16152 18171 20736 21536 24228 32304 36342 41472 43072 48456 54513 64608 72684 86144 96912 109026 129216 145368 172288 193824 218052 258432 290736 344576 387648 436104 516864 581472 775296 872208 1033728 1162944 1550592 1744416 2325888 3101184 3488832 4651776 6977664 9303552 13955328 27910656