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132040008 = 23324144729
BaseRepresentation
bin1111101111011…
…00010101001000
3100012110022211200
413313230111020
5232300240013
621034024200
73162215202
oct767542510
9305408750
10132040008
1168595681
1238278060
13214811a9
1413771772
15b8d2e73
hex7dec548

132040008 has 48 divisors (see below), whose sum is σ = 366338700. Its totient is φ = 42938880.

The previous prime is 132039997. The next prime is 132040021. The reversal of 132040008 is 800040231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 129549924 + 2490084 = 11382^2 + 1578^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19413 + ... + 25316.

Almost surely, 2132040008 is an apocalyptic number.

132040008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132040008 is an abundant number, since it is smaller than the sum of its proper divisors (234298692).

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

132040008 is a wasteful number, since it uses less digits than its factorization.

132040008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44782 (or 44775 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132040008 is about 11490.8662858811. The cubic root of 132040008 is about 509.2157727970.

Adding to 132040008 its reverse (800040231), we get a palindrome (932080239).

It can be divided in two parts, 1320 and 40008, that added together give a triangular number (41328 = T287).

The spelling of 132040008 in words is "one hundred thirty-two million, forty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 44729 89458 134187 178916 268374 357832 402561 536748 805122 1073496 1610244 1833889 3220488 3667778 5501667 7335556 11003334 14671112 16505001 22006668 33010002 44013336 66020004 132040008