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131835004 = 2274708393
BaseRepresentation
bin1111101101110…
…10010001111100
3100012001220121221
413312322101330
5232222210004
621025403124
73160402420
oct766722174
9305056557
10131835004
1168465654
12381994a4
132140baa2
141371ab80
15b892354
hex7dba47c

131835004 has 12 divisors (see below), whose sum is σ = 263670064. Its totient is φ = 56500704.

The previous prime is 131834999. The next prime is 131835037. The reversal of 131835004 is 400538131.

131835004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

131835004 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 131835004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2354169 + ... + 2354224.

Almost surely, 2131835004 is an apocalyptic number.

131835004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131835004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

131835004 is a wasteful number, since it uses less digits than its factorization.

131835004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708404 (or 4708402 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 131835004 is about 11481.9425185811. The cubic root of 131835004 is about 508.9521018482.

The spelling of 131835004 in words is "one hundred thirty-one million, eight hundred thirty-five thousand, four".

Divisors: 1 2 4 7 14 28 4708393 9416786 18833572 32958751 65917502 131835004