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10329940 = 2253971301
BaseRepresentation
bin100111011001…
…111101010100
3201102211000101
4213121331110
510121024230
61005223444
7153542305
oct47317524
921384011
1010329940
115916045
123561b84
1321a8aba
14152c7ac
15d90aca
hex9d9f54

10329940 has 24 divisors (see below), whose sum is σ = 21764232. Its totient is φ = 4118400.

The previous prime is 10329899. The next prime is 10329941. The reversal of 10329940 is 4992301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 10316944 = 114^2 + 3212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10329899 and 10329908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10329941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7290 + ... + 8590.

It is an arithmetic number, because the mean of its divisors is an integer number (906843).

Almost surely, 210329940 is an apocalyptic number.

10329940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10329940 is an abundant number, since it is smaller than the sum of its proper divisors (11434292).

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

10329940 is a wasteful number, since it uses less digits than its factorization.

10329940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 10329940 is about 3214.0224019132. The cubic root of 10329940 is about 217.7873245001.

The spelling of 10329940 in words is "ten million, three hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 397 794 1301 1588 1985 2602 3970 5204 6505 7940 13010 26020 516497 1032994 2065988 2582485 5164970 10329940