Search a number
-
+
27675020 = 22519671087
BaseRepresentation
bin110100110010…
…0100110001100
31221002000222202
41221210212030
524041100040
62425101032
7454143122
oct151444614
957060882
1027675020
111469271a
129327778
13596c969
143965912
15266a015
hex1a6498c

27675020 has 48 divisors (see below), whose sum is σ = 62146560. Its totient is φ = 10321344.

The previous prime is 27675017. The next prime is 27675023. The reversal of 27675020 is 2057672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27675017) and next prime (27675023).

It is not an unprimeable number, because it can be changed into a prime (27675023) 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 15 ways as a sum of consecutive naturals, for example, 24917 + ... + 26003.

It is an arithmetic number, because the mean of its divisors is an integer number (1294720).

Almost surely, 227675020 is an apocalyptic number.

27675020 is a gapful number since it is divisible by the number (20) 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 27675020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31073280).

27675020 is an abundant number, since it is smaller than the sum of its proper divisors (34471540).

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

27675020 is a wasteful number, since it uses less digits than its factorization.

27675020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 27675020 is about 5260.7052759112. The cubic root of 27675020 is about 302.4795241474.

The spelling of 27675020 in words is "twenty-seven million, six hundred seventy-five thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1087 1273 1340 2174 2546 4348 5092 5435 6365 10870 12730 20653 21740 25460 41306 72829 82612 103265 145658 206530 291316 364145 413060 728290 1383751 1456580 2767502 5535004 6918755 13837510 27675020