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10321408 = 29191061
BaseRepresentation
bin100111010111…
…111000000000
3201102101022101
4213113320000
510120241113
61005120144
7153505366
oct47277000
921371271
1010321408
11590a699
123559054
1321a4c56
141529636
15d8d2dd
hex9d7e00

10321408 has 40 divisors (see below), whose sum is σ = 21728520. Its totient is φ = 4884480.

The previous prime is 10321403. The next prime is 10321439. The reversal of 10321408 is 80412301.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9198 + ... + 10258.

It is an arithmetic number, because the mean of its divisors is an integer number (543213).

Almost surely, 210321408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864260).

10321408 is an abundant number, since it is smaller than the sum of its proper divisors (11407112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10321408 is an equidigital number, since it uses as much as digits as its factorization.

10321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10321408 is about 3212.6948189954. The cubic root of 10321408 is about 217.7273476022.

Adding to 10321408 its reverse (80412301), we get a palindrome (90733709).

The spelling of 10321408 in words is "ten million, three hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1061 1216 2122 2432 4244 4864 8488 9728 16976 20159 33952 40318 67904 80636 135808 161272 271616 322544 543232 645088 1290176 2580352 5160704 10321408