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10465 = 571323
BaseRepresentation
bin10100011100001
3112100121
42203201
5313330
6120241
742340
oct24341
915317
1010465
117954
126081
1349c0
143b57
15317a
hex28e1

10465 has 16 divisors (see below), whose sum is σ = 16128. Its totient is φ = 6336.

The previous prime is 10463. The next prime is 10477. The reversal of 10465 is 56401.

It is a cyclic number.

It is not a de Polignac number, because 10465 - 21 = 10463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

210465 is an apocalyptic number.

10465 is the 65-th heptagonal number.

It is an amenable number.

10465 is a deficient number, since it is larger than the sum of its proper divisors (5663).

10465 is a wasteful number, since it uses less digits than its factorization.

10465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10465 is about 102.2985825904. The cubic root of 10465 is about 21.8732379533.

Adding to 10465 its product of nonzero digits (120), we get a triangular number (10585 = T145).

Adding to 10465 its reverse (56401), we get a palindrome (66866).

It can be divided in two parts, 104 and 65, that added together give a square (169 = 132).

The spelling of 10465 in words is "ten thousand, four hundred sixty-five".

Divisors: 1 5 7 13 23 35 65 91 115 161 299 455 805 1495 2093 10465