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10045960 = 235251149
BaseRepresentation
bin100110010100…
…101000001000
3200220101110121
4212110220020
510032432320
6555153024
7151250341
oct46245010
920811417
1010045960
115741751
123445774
132109772
1414970c8
15d368aa
hex994a08

10045960 has 16 divisors (see below), whose sum is σ = 22603500. Its totient is φ = 4018368.

The previous prime is 10045957. The next prime is 10045967. The reversal of 10045960 is 6954001.

It can be written as a sum of positive squares in 2 ways, for example, as 9847044 + 198916 = 3138^2 + 446^2 .

It is not an unprimeable number, because it can be changed into a prime (10045967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125535 + ... + 125614.

Almost surely, 210045960 is an apocalyptic number.

10045960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045960 is an abundant number, since it is smaller than the sum of its proper divisors (12557540).

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

10045960 is a wasteful number, since it uses less digits than its factorization.

10045960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251160 (or 251156 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 10045960 is about 3169.5362436798. The cubic root of 10045960 is about 215.7730240339.

Adding to 10045960 its reverse (6954001), we get a palindrome (16999961).

The spelling of 10045960 in words is "ten million, forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 251149 502298 1004596 1255745 2009192 2511490 5022980 10045960