Search a number
-
+
27920025 = 3352719311
BaseRepresentation
bin110101010000…
…0011010011001
31221112111002000
41222200122121
524121420100
62434231213
7456213330
oct152403231
957474060
1027920025
111483a801
129425509
135a27333
1439cad17
1526b7900
hex1aa0699

27920025 has 96 divisors (see below), whose sum is σ = 61900800. Its totient is φ = 12052800.

The previous prime is 27920017. The next prime is 27920059. The reversal of 27920025 is 52002972.

It is a happy number.

It is not a de Polignac number, because 27920025 - 23 = 27920017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 89620 + ... + 89930.

It is an arithmetic number, because the mean of its divisors is an integer number (644800).

Almost surely, 227920025 is an apocalyptic number.

27920025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27920025 is an abundant number, since it is smaller than the sum of its proper divisors (33980775).

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

27920025 is a wasteful number, since it uses less digits than its factorization.

27920025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 27920025 is about 5283.9402911085. The cubic root of 27920025 is about 303.3695129195.

Adding to 27920025 its reverse (52002972), we get a palindrome (79922997).

The spelling of 27920025 in words is "twenty-seven million, nine hundred twenty thousand, twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 95 105 133 135 171 175 189 225 285 311 315 399 475 513 525 665 675 855 933 945 1197 1425 1555 1575 1995 2177 2565 2799 3325 3591 4275 4665 4725 5909 5985 6531 7775 8397 9975 10885 12825 13995 17727 17955 19593 23325 29545 29925 32655 41363 41985 53181 54425 58779 69975 88635 89775 97965 124089 147725 159543 163275 206815 209925 265905 293895 372267 443175 489825 620445 797715 1034075 1116801 1329525 1469475 1861335 3102225 3988575 5584005 9306675 27920025