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3130753 = 29891213
BaseRepresentation
bin1011111100010110000001
312220001120211
423330112001
51300141003
6151034121
735416363
oct13742601
95801524
103130753
1118491aa
12106b941
13858022
145b6d33
1541c96d
hex2fc581

3130753 has 8 divisors (see below), whose sum is σ = 3277800. Its totient is φ = 2986368.

The previous prime is 3130739. The next prime is 3130759. The reversal of 3130753 is 3570313.

3130753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 3122289 = 92^2 + 1767^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3130753 - 29 = 3130241 is a prime.

It is a super-3 number, since 3×31307533 = 92059300565224403331, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

3130753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3130759) 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, 1975 + ... + 3187.

It is an arithmetic number, because the mean of its divisors is an integer number (409725).

Almost surely, 23130753 is an apocalyptic number.

It is an amenable number.

3130753 is a deficient number, since it is larger than the sum of its proper divisors (147047).

3130753 is a wasteful number, since it uses less digits than its factorization.

3130753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 945, while the sum is 22.

The square root of 3130753 is about 1769.3933988800. The cubic root of 3130753 is about 146.2905485735.

It can be divided in two parts, 3130 and 753, that added together give a palindrome (3883).

The spelling of 3130753 in words is "three million, one hundred thirty thousand, seven hundred fifty-three".

Divisors: 1 29 89 1213 2581 35177 107957 3130753