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10032965 = 513811453
BaseRepresentation
bin100110010001…
…011101000101
3200212201122022
4212101131011
510032023330
6555012525
7151164425
oct46213505
920781568
1010032965
115732a08
12343a145
132103887
141492485
15d32ae5
hex991745

10032965 has 8 divisors (see below), whose sum is σ = 12056568. Its totient is φ = 8015040.

The previous prime is 10032937. The next prime is 10032977. The reversal of 10032965 is 56923001.

It can be written as a sum of positive squares in 4 ways, for example, as 3319684 + 6713281 = 1822^2 + 2591^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10032965 - 212 = 10028869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6179 + ... + 7631.

It is an arithmetic number, because the mean of its divisors is an integer number (1507071).

Almost surely, 210032965 is an apocalyptic number.

It is an amenable number.

10032965 is a deficient number, since it is larger than the sum of its proper divisors (2023603).

10032965 is a wasteful number, since it uses less digits than its factorization.

10032965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 10032965 is about 3167.4855958631. The cubic root of 10032965 is about 215.6799458098.

Adding to 10032965 its reverse (56923001), we get a palindrome (66955966).

The spelling of 10032965 in words is "ten million, thirty-two thousand, nine hundred sixty-five".

Divisors: 1 5 1381 1453 6905 7265 2006593 10032965