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11829140 = 225591457
BaseRepresentation
bin101101000111…
…111110010100
3211020222112022
4231013332110
511012013030
61101312312
7202355201
oct55077624
924228468
1011829140
11674a454
123b65698
1325b22bb
1417dcca8
151089de5
hexb47f94

11829140 has 12 divisors (see below), whose sum is σ = 24841236. Its totient is φ = 4731648.

The previous prime is 11829137. The next prime is 11829143. The reversal of 11829140 is 4192811.

It is an interprime number because it is at equal distance from previous prime (11829137) and next prime (11829143).

It can be written as a sum of positive squares in 2 ways, for example, as 7772944 + 4056196 = 2788^2 + 2014^2 .

It is a super-3 number, since 3×118291403 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11829143) 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, 295709 + ... + 295748.

It is an arithmetic number, because the mean of its divisors is an integer number (2070103).

Almost surely, 211829140 is an apocalyptic number.

11829140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11829140 is an abundant number, since it is smaller than the sum of its proper divisors (13012096).

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

11829140 is a wasteful number, since it uses less digits than its factorization.

11829140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591466 (or 591464 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 11829140 is about 3439.3516830938. The cubic root of 11829140 is about 227.8510620606.

The spelling of 11829140 in words is "eleven million, eight hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 591457 1182914 2365828 2957285 5914570 11829140