Search a number
-
+
27107440 = 2451672029
BaseRepresentation
bin110011101101…
…0000001110000
31220000012102021
41213122001300
523414414230
62405001224
7446260303
oct147320160
956005367
1027107440
1114335248
1290b3214
135801509
143858b3a
1525a6c7a
hex19da070

27107440 has 40 divisors (see below), whose sum is σ = 63433440. Its totient is φ = 10772736.

The previous prime is 27107419. The next prime is 27107441. The reversal of 27107440 is 4470172.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27107441) 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 7 ways as a sum of consecutive naturals, for example, 12346 + ... + 14374.

It is an arithmetic number, because the mean of its divisors is an integer number (1585836).

Almost surely, 227107440 is an apocalyptic number.

27107440 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 27107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31716720).

27107440 is an abundant number, since it is smaller than the sum of its proper divisors (36326000).

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

27107440 is a wasteful number, since it uses less digits than its factorization.

27107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 27107440 is about 5206.4805771269. The cubic root of 27107440 is about 300.3973992729.

The spelling of 27107440 in words is "twenty-seven million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2029 2672 3340 4058 6680 8116 10145 13360 16232 20290 32464 40580 81160 162320 338843 677686 1355372 1694215 2710744 3388430 5421488 6776860 13553720 27107440