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10253419 = 112101839
BaseRepresentation
bin100111000111…
…010001101011
3201021221001021
4213013101223
510111102134
61003433311
7153103231
oct47072153
921257037
1010253419
115873600
123525837
132180017
14150c951
15d780b4
hex9c746b

10253419 has 12 divisors (see below), whose sum is σ = 11395440. Its totient is φ = 9218000.

The previous prime is 10253417. The next prime is 10253437. The reversal of 10253419 is 91435201.

10253419 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 10253419 - 21 = 10253417 is a prime.

It is a super-2 number, since 2×102534192 = 210265202379122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10253393 and 10253402.

It is not an unprimeable number, because it can be changed into a prime (10253413) 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, 11802 + ... + 12640.

It is an arithmetic number, because the mean of its divisors is an integer number (949620).

Almost surely, 210253419 is an apocalyptic number.

10253419 is a deficient number, since it is larger than the sum of its proper divisors (1142021).

10253419 is a wasteful number, since it uses less digits than its factorization.

10253419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 10253419 is about 3202.0960322889. The cubic root of 10253419 is about 217.2482240949.

It can be divided in two parts, 1025 and 3419, that added together give a palindrome (4444).

The spelling of 10253419 in words is "ten million, two hundred fifty-three thousand, four hundred nineteen".

Divisors: 1 11 101 121 839 1111 9229 12221 84739 101519 932129 10253419