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10470 = 235349

10470 has 16 divisors (see below), whose sum is σ = 25200. Its totient is φ = 2784.

The previous prime is 10463. The next prime is 10477. The reversal of 10470 is 7401.

Adding to 10470 its reverse (7401), we get a palindrome (17871).

10470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10463) and next prime (10477).

It is a house number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10477) 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 7 ways as a sum of consecutive naturals, for example, 145 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

210470 is an apocalyptic number.

10470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10470 is an abundant number, since it is smaller than the sum of its proper divisors (14730).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600).

10470 is a wasteful number, since it uses less digits than its factorization.

10470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10470 is about 102.3230179383. The cubic root of 10470 is about 21.8767209530.

The spelling of 10470 in words is "ten thousand, four hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 15 30 349 698 1047 1745 2094 3490 5235 10470