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131853006 = 23210496983
BaseRepresentation
bin1111101101111…
…10101011001110
3100012002211022200
413312332223032
5232223244011
621030022330
73160506045
oct766765316
9305084280
10131853006
116847812a
12381a79a6
132141703c
141372355c
15b897856
hex7dbeace

131853006 has 24 divisors (see below), whose sum is σ = 285994800. Its totient is φ = 43902816.

The previous prime is 131852999. The next prime is 131853017. The reversal of 131853006 is 600358131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15391 + ... + 22373.

It is an arithmetic number, because the mean of its divisors is an integer number (11916450).

Almost surely, 2131853006 is an apocalyptic number.

131853006 is an abundant number, since it is smaller than the sum of its proper divisors (154141794).

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

131853006 is a wasteful number, since it uses less digits than its factorization.

131853006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131853006 is about 11482.7264184078. The cubic root of 131853006 is about 508.9752665072.

The spelling of 131853006 in words is "one hundred thirty-one million, eight hundred fifty-three thousand, six".

Divisors: 1 2 3 6 9 18 1049 2098 3147 6294 6983 9441 13966 18882 20949 41898 62847 125694 7325167 14650334 21975501 43951002 65926503 131853006