Search a number
-
+
10326024 = 2332173829
BaseRepresentation
bin100111011001…
…000000001000
3201102121122100
4213121000020
510120413044
61005153400
7153525012
oct47310010
921377570
1010326024
115913105
12355b860
1321a7097
14152b1b2
15d8e869
hex9d9008

10326024 has 48 divisors (see below), whose sum is σ = 28161900. Its totient is φ = 3417984.

The previous prime is 10326013. The next prime is 10326031. The reversal of 10326024 is 42062301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9548100 + 777924 = 3090^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10325988 and 10326006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12042 + ... + 12870.

Almost surely, 210326024 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 10326024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080950).

10326024 is an abundant number, since it is smaller than the sum of its proper divisors (17835876).

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

10326024 is a wasteful number, since it uses less digits than its factorization.

10326024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10326024 is about 3213.4131387047. The cubic root of 10326024 is about 217.7598005276.

Adding to 10326024 its reverse (42062301), we get a palindrome (52388325).

It can be divided in two parts, 1032 and 6024, that added together give a square (7056 = 842).

The spelling of 10326024 in words is "ten million, three hundred twenty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 829 1038 1384 1557 1658 2076 2487 3114 3316 4152 4974 6228 6632 7461 9948 12456 14922 19896 29844 59688 143417 286834 430251 573668 860502 1147336 1290753 1721004 2581506 3442008 5163012 10326024