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10129040 = 245126613
BaseRepresentation
bin100110101000…
…111010010000
3201001121102122
4212220322100
510043112130
61001033412
7152044505
oct46507220
921047378
1010129040
115799109
123485868
13213851c
1414b94ac
15d512e5
hex9a8e90

10129040 has 20 divisors (see below), whose sum is σ = 23550204. Its totient is φ = 4051584.

The previous prime is 10129019. The next prime is 10129057. The reversal of 10129040 is 4092101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1926544 + 8202496 = 1388^2 + 2864^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63227 + ... + 63386.

Almost surely, 210129040 is an apocalyptic number.

10129040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10129040 is an abundant number, since it is smaller than the sum of its proper divisors (13421164).

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

10129040 is a wasteful number, since it uses less digits than its factorization.

10129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126626 (or 126620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10129040 is about 3182.6152767810. The cubic root of 10129040 is about 216.3662054891.

The spelling of 10129040 in words is "ten million, one hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126613 253226 506452 633065 1012904 1266130 2025808 2532260 5064520 10129040