Search a number
-
+
27712020 = 2235765981
BaseRepresentation
bin110100110110…
…1101000010100
31221010220202010
41221231220110
524043241040
62425544220
7454356030
oct151555024
957126663
1027712020
11147084a6
129345070
13598375b
1439751c0
152675e80
hex1a6da14

27712020 has 48 divisors (see below), whose sum is σ = 88679808. Its totient is φ = 6334080.

The previous prime is 27711997. The next prime is 27712021. The reversal of 27712020 is 2021772.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27712021) 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, 32571 + ... + 33410.

It is an arithmetic number, because the mean of its divisors is an integer number (1847496).

Almost surely, 227712020 is an apocalyptic number.

27712020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27712020 is an abundant number, since it is smaller than the sum of its proper divisors (60967788).

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

27712020 is a wasteful number, since it uses less digits than its factorization.

27712020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66000 (or 65998 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 27712020 is about 5264.2207400526. The cubic root of 27712020 is about 302.6142636888.

Adding to 27712020 its reverse (2021772), we get a palindrome (29733792).

It can be divided in two parts, 277120 and 20, that added together give a triangular number (277140 = T744).

The spelling of 27712020 in words is "twenty-seven million, seven hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 65981 131962 197943 263924 329905 395886 461867 659810 791772 923734 989715 1319620 1385601 1847468 1979430 2309335 2771202 3958860 4618670 5542404 6928005 9237340 13856010 27712020