Search a number
-
+
27130020 = 22351393253
BaseRepresentation
bin110011101111…
…1100010100100
31220001100101120
41213133202210
523421130040
62405253540
7446413161
oct147374244
956040346
1027130020
1114350205
1291042b0
13580b888
143863068
1525ad7d0
hex19df8a4

27130020 has 48 divisors (see below), whose sum is σ = 76534080. Its totient is φ = 7180416.

The previous prime is 27130007. The next prime is 27130021. The reversal of 27130020 is 2003172.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (27130021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6714 + ... + 9966.

It is an arithmetic number, because the mean of its divisors is an integer number (1594460).

Almost surely, 227130020 is an apocalyptic number.

27130020 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 27130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38267040).

27130020 is an abundant number, since it is smaller than the sum of its proper divisors (49404060).

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

27130020 is a wasteful number, since it uses less digits than its factorization.

27130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 27130020 is about 5208.6485771263. The cubic root of 27130020 is about 300.4807846311.

Adding to 27130020 its reverse (2003172), we get a palindrome (29133192).

The spelling of 27130020 in words is "twenty-seven million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 3253 4170 6506 8340 9759 13012 16265 19518 32530 39036 48795 65060 97590 195180 452167 904334 1356501 1808668 2260835 2713002 4521670 5426004 6782505 9043340 13565010 27130020