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132935840 = 255830849
BaseRepresentation
bin1111110110001…
…11000010100000
3100021010211200122
413323013002200
5233012421330
621105135412
73202636022
oct773070240
9307124618
10132935840
1169047734
123862a568
1321705b7b
1413926012
15ba0d5e5
hex7ec70a0

132935840 has 24 divisors (see below), whose sum is σ = 314061300. Its totient is φ = 53174272.

The previous prime is 132935827. The next prime is 132935849. The reversal of 132935840 is 48539231.

It can be written as a sum of positive squares in 2 ways, for example, as 112105744 + 20830096 = 10588^2 + 4564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132935840.

It is not an unprimeable number, because it can be changed into a prime (132935849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 415265 + ... + 415584.

Almost surely, 2132935840 is an apocalyptic number.

132935840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132935840 is an abundant number, since it is smaller than the sum of its proper divisors (181125460).

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

132935840 is an equidigital number, since it uses as much as digits as its factorization.

132935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830864 (or 830856 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 132935840 is about 11529.7805703318. The cubic root of 132935840 is about 510.3647781173.

The spelling of 132935840 in words is "one hundred thirty-two million, nine hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 830849 1661698 3323396 4154245 6646792 8308490 13293584 16616980 26587168 33233960 66467920 132935840