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10312829 = 17653929
BaseRepresentation
bin100111010101…
…110001111101
3201101221112122
4213111301331
510120002304
61005012325
7153441362
oct47256175
921357478
1010312829
1159041aa
1235540a5
1321a1087
141526469
15d8a9be
hex9d5c7d

10312829 has 8 divisors (see below), whose sum is σ = 10947960. Its totient is φ = 9680896.

The previous prime is 10312823. The next prime is 10312867. The reversal of 10312829 is 92821301.

It can be written as a sum of positive squares in 4 ways, for example, as 60025 + 10252804 = 245^2 + 3202^2 .

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 10312829 - 212 = 10308733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10312798 and 10312807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10637 + ... + 11565.

It is an arithmetic number, because the mean of its divisors is an integer number (1368495).

Almost surely, 210312829 is an apocalyptic number.

It is an amenable number.

10312829 is a deficient number, since it is larger than the sum of its proper divisors (635131).

10312829 is an equidigital number, since it uses as much as digits as its factorization.

10312829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10312829 is about 3211.3593694883. The cubic root of 10312829 is about 217.6670069758.

The spelling of 10312829 in words is "ten million, three hundred twelve thousand, eight hundred twenty-nine".

Divisors: 1 17 653 929 11101 15793 606637 10312829