Search a number
-
+
27302717 = 132972421
BaseRepresentation
bin110100000100…
…1101100111101
31220101010021202
41220021230331
523442141332
62413105245
7451032521
oct150115475
956333252
1027302717
1114458a32
129188225
13586c370
1438a9d81
1525e4a62
hex1a09b3d

27302717 has 8 divisors (see below), whose sum is σ = 30417240. Its totient is φ = 24333120.

The previous prime is 27302711. The next prime is 27302741. The reversal of 27302717 is 71720372.

It can be written as a sum of positive squares in 4 ways, for example, as 2042041 + 25260676 = 1429^2 + 5026^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27302717 - 222 = 23108413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27302717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27302711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35834 + ... + 36587.

It is an arithmetic number, because the mean of its divisors is an integer number (3802155).

Almost surely, 227302717 is an apocalyptic number.

It is an amenable number.

27302717 is a deficient number, since it is larger than the sum of its proper divisors (3114523).

27302717 is a wasteful number, since it uses less digits than its factorization.

27302717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72463.

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 27302717 is about 5225.2001875526. The cubic root of 27302717 is about 301.1170098753.

The spelling of 27302717 in words is "twenty-seven million, three hundred two thousand, seven hundred seventeen".

Divisors: 1 13 29 377 72421 941473 2100209 27302717