Search a number
-
+
2830272 = 26314741
BaseRepresentation
bin1010110010111111000000
312022210101220
422302333000
51211032042
6140355040
733025344
oct12627700
95283356
102830272
111663475
12b45a80
13781323
14539624
153ad8ec
hex2b2fc0

2830272 has 28 divisors (see below), whose sum is σ = 7488936. Its totient is φ = 943360.

The previous prime is 2830249. The next prime is 2830277. The reversal of 2830272 is 2720382.

2830272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830277) 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 3 ways as a sum of consecutive naturals, for example, 7179 + ... + 7562.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

22830272 is an apocalyptic number.

It is an amenable number.

2830272 is an abundant number, since it is smaller than the sum of its proper divisors (4658664).

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

2830272 is a wasteful number, since it uses less digits than its factorization.

2830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14756 (or 14746 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2830272 is about 1682.3412257922. The cubic root of 2830272 is about 141.4520974754.

The spelling of 2830272 in words is "two million, eight hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 14741 29482 44223 58964 88446 117928 176892 235856 353784 471712 707568 943424 1415136 2830272