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10508328 = 2332145949
BaseRepresentation
bin101000000101…
…100000101000
3201202212201100
4220011200220
510142231303
61013121400
7155214345
oct50054050
921685640
1010508328
115a28076
123629260
13223c05c
1415777cc
15dc88a3
hexa05828

10508328 has 24 divisors (see below), whose sum is σ = 28460250. Its totient is φ = 3502752.

The previous prime is 10508327. The next prime is 10508339. The reversal of 10508328 is 82380501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5391684 + 5116644 = 2322^2 + 2262^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105083282 = 220849914711168, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (10508321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72903 + ... + 73046.

Almost surely, 210508328 is an apocalyptic number.

10508328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10508328 is an abundant number, since it is smaller than the sum of its proper divisors (17951922).

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

10508328 is a wasteful number, since it uses less digits than its factorization.

10508328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145961 (or 145954 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10508328 is about 3241.6551327987. The cubic root of 10508328 is about 219.0338347674.

Adding to 10508328 its reverse (82380501), we get a palindrome (92888829).

It can be divided in two parts, 105083 and 28, that added together give a triangular number (105111 = T458).

The spelling of 10508328 in words is "ten million, five hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 145949 291898 437847 583796 875694 1167592 1313541 1751388 2627082 3502776 5254164 10508328