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10147267 = 13297619
BaseRepresentation
bin100110101101…
…010111000011
3201002112102201
4212231113003
510044203032
61001254031
7152151604
oct46552703
921075381
1010147267
115800879
123494317
132143900
1414c1dab
15d568e7
hex9ad5c3

10147267 has 12 divisors (see below), whose sum is σ = 11119080. Its totient is φ = 9255168.

The previous prime is 10147259. The next prime is 10147279. The reversal of 10147267 is 76274101.

10147267 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10147267 - 23 = 10147259 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10147297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16084 + ... + 16702.

It is an arithmetic number, because the mean of its divisors is an integer number (926590).

Almost surely, 210147267 is an apocalyptic number.

10147267 is a deficient number, since it is larger than the sum of its proper divisors (971813).

10147267 is an equidigital number, since it uses as much as digits as its factorization.

10147267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10147267 is about 3185.4775152244. The cubic root of 10147267 is about 216.4959099050.

It can be divided in two parts, 1014 and 7267, that added together give a square (8281 = 912).

The spelling of 10147267 in words is "ten million, one hundred forty-seven thousand, two hundred sixty-seven".

Divisors: 1 13 97 169 619 1261 8047 16393 60043 104611 780559 10147267