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133431040 = 285104243
BaseRepresentation
bin1111111001111…
…11111100000000
3100022001222222101
413330333330000
5233124243130
621123520144
73210100531
oct774777400
9308058871
10133431040
1169355796
1238829054
132184a3a2
1413a14688
15baaa1ca
hex7f3ff00

133431040 has 36 divisors (see below), whose sum is σ = 319612104. Its totient is φ = 53371904.

The previous prime is 133431031. The next prime is 133431061. The reversal of 133431040 is 40134331.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133430999 and 133431017.

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, 50842 + ... + 53401.

It is an arithmetic number, because the mean of its divisors is an integer number (8878114).

Almost surely, 2133431040 is an apocalyptic number.

133431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133431040 is an abundant number, since it is smaller than the sum of its proper divisors (186181064).

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

133431040 is an equidigital number, since it uses as much as digits as its factorization.

133431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104264 (or 104250 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 133431040 is about 11551.2354317623. The cubic root of 133431040 is about 510.9977136934.

Adding to 133431040 its reverse (40134331), we get a palindrome (173565371).

The spelling of 133431040 in words is "one hundred thirty-three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 104243 208486 416972 521215 833944 1042430 1667888 2084860 3335776 4169720 6671552 8339440 13343104 16678880 26686208 33357760 66715520 133431040