Search a number
-
+
27160840 = 235797003
BaseRepresentation
bin110011110011…
…1000100001000
31220002220200001
41213213010020
523423121330
62410052344
7446602060
oct147470410
956086601
1027160840
1114371383
12911a0b4
13581c905
1438703a0
1525b79ca
hex19e7108

27160840 has 32 divisors (see below), whose sum is σ = 69842880. Its totient is φ = 9312192.

The previous prime is 27160831. The next prime is 27160841. The reversal of 27160840 is 4806172.

It is a super-2 number, since 2×271608402 = 1475422459011200, which contains 22 as substring.

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 = 27160799 and 27160808.

It is not an unprimeable number, because it can be changed into a prime (27160841) 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, 48222 + ... + 48781.

It is an arithmetic number, because the mean of its divisors is an integer number (2182590).

Almost surely, 227160840 is an apocalyptic number.

27160840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27160840 is an abundant number, since it is smaller than the sum of its proper divisors (42682040).

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

27160840 is a wasteful number, since it uses less digits than its factorization.

27160840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97021 (or 97017 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 27160840 is about 5211.6062782985. The cubic root of 27160840 is about 300.5945247266.

The spelling of 27160840 in words is "twenty-seven million, one hundred sixty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 97003 194006 388012 485015 679021 776024 970030 1358042 1940060 2716084 3395105 3880120 5432168 6790210 13580420 27160840