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10321409 = 72375693
BaseRepresentation
bin100111010111…
…111000000001
3201102101022102
4213113320001
510120241114
61005120145
7153505400
oct47277001
921371272
1010321409
11590a69a
123559055
1321a4c57
141529637
15d8d2de
hex9d7e01

10321409 has 12 divisors (see below), whose sum is σ = 12333204. Its totient is φ = 8606304.

The previous prime is 10321403. The next prime is 10321439. The reversal of 10321409 is 90412301.

10321409 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5303809 + 5017600 = 2303^2 + 2240^2 .

It is not a de Polignac number, because 10321409 - 24 = 10321393 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1034 + ... + 4659.

It is an arithmetic number, because the mean of its divisors is an integer number (1027767).

Almost surely, 210321409 is an apocalyptic number.

It is an amenable number.

10321409 is a deficient number, since it is larger than the sum of its proper divisors (2011795).

10321409 is an equidigital number, since it uses as much as digits as its factorization.

10321409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10321409 is about 3212.6949746280. The cubic root of 10321409 is about 217.7273546338.

It can be divided in two parts, 103 and 21409, that added together give a palindrome (21512).

The spelling of 10321409 in words is "ten million, three hundred twenty-one thousand, four hundred nine".

Divisors: 1 7 37 49 259 1813 5693 39851 210641 278957 1474487 10321409