13402000 has 40 divisors (see below), whose sum is σ = 32410872. Its totient is φ = 5360000.

The previous prime is 13401989. The next prime is 13402007. The reversal of 13402000 is 20431.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 12503296 = 948^2 + 3536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13402000² = 359227208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13402007) 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 7 ways as a sum of consecutive naturals, for example, 1351 + ... + 5350.

Almost surely, 2^13402000 is an apocalyptic number.

13402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402000 is an abundant number, since it is smaller than the sum of its proper divisors (19008872).

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

13402000 is an equidigital number, since it uses as much as digits as its factorization.

13402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13402000 is about 3660.8742125345. The cubic root of 13402000 is about 237.5325901722.

Adding to 13402000 its reverse (20431), we get a palindrome (13422431).

The spelling of 13402000 in words is "thirteen million, four hundred two thousand".