Search a number
-
+
27053740 = 22571731117
BaseRepresentation
bin110011100110…
…0111010101100
31212220110202101
41213030322230
523411204430
62403504444
7445644610
oct147147254
955813671
1027053740
11142a896a
129088124
1357b2c3c
143843340
152595dca
hex19cceac

27053740 has 48 divisors (see below), whose sum is σ = 65362752. Its totient is φ = 9213696.

The previous prime is 27053737. The next prime is 27053779. The reversal of 27053740 is 4735072.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 27053699 and 27053708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23662 + ... + 24778.

It is an arithmetic number, because the mean of its divisors is an integer number (1361724).

Almost surely, 227053740 is an apocalyptic number.

27053740 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 27053740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32681376).

27053740 is an abundant number, since it is smaller than the sum of its proper divisors (38309012).

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

27053740 is a wasteful number, since it uses less digits than its factorization.

27053740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 27053740 is about 5201.3209860573. The cubic root of 27053740 is about 300.1989051304.

The spelling of 27053740 in words is "twenty-seven million, fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1117 1211 1730 2234 2422 3460 4468 4844 5585 6055 7819 11170 12110 15638 22340 24220 31276 39095 78190 156380 193241 386482 772964 966205 1352687 1932410 2705374 3864820 5410748 6763435 13526870 27053740