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132042006 = 2327335667
BaseRepresentation
bin1111101111011…
…00110100010110
3100012110102120200
413313230310112
5232300321011
621034041330
73162224055
oct767546426
9305412520
10132042006
1168597128
1238279246
1321482085
141377239c
15b8d3856
hex7decd16

132042006 has 12 divisors (see below), whose sum is σ = 286091052. Its totient is φ = 44013996.

The previous prime is 132041999. The next prime is 132042013. The reversal of 132042006 is 600240231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132041999) and next prime (132042013).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7335667 = 132042006 / (1 + 3 + 2 + 0 + 4 + 2 + 0 + 0 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 132042006.

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 5 ways as a sum of consecutive naturals, for example, 3667816 + ... + 3667851.

It is an arithmetic number, because the mean of its divisors is an integer number (23840921).

Almost surely, 2132042006 is an apocalyptic number.

132042006 is an abundant number, since it is smaller than the sum of its proper divisors (154049046).

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

132042006 is a wasteful number, since it uses less digits than its factorization.

132042006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335675 (or 7335672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132042006 is about 11490.9532241673. The cubic root of 132042006 is about 509.2183412306.

Adding to 132042006 its reverse (600240231), we get a palindrome (732282237).

The spelling of 132042006 in words is "one hundred thirty-two million, forty-two thousand, six".

Divisors: 1 2 3 6 9 18 7335667 14671334 22007001 44014002 66021003 132042006