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13435040 = 25583969
BaseRepresentation
bin110011010000…
…000010100000
3221021120102002
4303100002200
511414410130
61155543132
7222124133
oct63200240
927246362
1013435040
117646a43
1245baaa8
132a25238
141ada21a
1512a5b45
hexcd00a0

13435040 has 24 divisors (see below), whose sum is σ = 31740660. Its totient is φ = 5373952.

The previous prime is 13435039. The next prime is 13435043. The reversal of 13435040 is 4053431.

It can be written as a sum of positive squares in 2 ways, for example, as 12988816 + 446224 = 3604^2 + 668^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13435043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41825 + ... + 42144.

Almost surely, 213435040 is an apocalyptic number.

13435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13435040 is an abundant number, since it is smaller than the sum of its proper divisors (18305620).

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

13435040 is an equidigital number, since it uses as much as digits as its factorization.

13435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83984 (or 83976 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13435040 is about 3665.3840180805. The cubic root of 13435040 is about 237.7276266419.

Adding to 13435040 its reverse (4053431), we get a palindrome (17488471).

The spelling of 13435040 in words is "thirteen million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 83969 167938 335876 419845 671752 839690 1343504 1679380 2687008 3358760 6717520 13435040