Search a number
-
+
10329104 = 2429113197
BaseRepresentation
bin100111011001…
…110000010000
3201102202212102
4213121300100
510121012404
61005215532
7153540002
oct47316020
921382772
1010329104
115915455
1235615a8
1321a85c6
14152c372
15d9071e
hex9d9c10

10329104 has 40 divisors (see below), whose sum is σ = 20991960. Its totient is φ = 4917248.

The previous prime is 10329091. The next prime is 10329113. The reversal of 10329104 is 40192301.

It can be written as a sum of positive squares in 4 ways, for example, as 1567504 + 8761600 = 1252^2 + 2960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52334 + ... + 52530.

It is an arithmetic number, because the mean of its divisors is an integer number (524799).

Almost surely, 210329104 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 10329104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495980).

10329104 is an abundant number, since it is smaller than the sum of its proper divisors (10662856).

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

10329104 is a wasteful number, since it uses less digits than its factorization.

10329104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

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

The square root of 10329104 is about 3213.8923441833. The cubic root of 10329104 is about 217.7814491799.

The spelling of 10329104 in words is "ten million, three hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 113 116 197 226 232 394 452 464 788 904 1576 1808 3152 3277 5713 6554 11426 13108 22261 22852 26216 44522 45704 52432 89044 91408 178088 356176 645569 1291138 2582276 5164552 10329104