Search a number
-
+
3130272 = 25333623
BaseRepresentation
bin1011111100001110100000
312220000221000
423330032200
51300132042
6151032000
735415105
oct13741640
95800830
103130272
111848902
12106b600
13857a42
145b6aac
1541c74c
hex2fc3a0

3130272 has 48 divisors (see below), whose sum is σ = 9132480. Its totient is φ = 1043136.

The previous prime is 3130249. The next prime is 3130279. The reversal of 3130272 is 2720313.

3130272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130279) 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, 948 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (190260).

Almost surely, 23130272 is an apocalyptic number.

3130272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3130272 is an abundant number, since it is smaller than the sum of its proper divisors (6002208).

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

3130272 is a wasteful number, since it uses less digits than its factorization.

3130272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3130272 is about 1769.2574713704. The cubic root of 3130272 is about 146.2830563017.

Adding to 3130272 its reverse (2720313), we get a palindrome (5850585).

It can be divided in two parts, 31 and 30272, that added together give a palindrome (30303).

The spelling of 3130272 in words is "three million, one hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3623 7246 10869 14492 21738 28984 32607 43476 57968 65214 86952 97821 115936 130428 173904 195642 260856 347808 391284 521712 782568 1043424 1565136 3130272