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13006477 = 1123101509
BaseRepresentation
bin110001100111…
…011010001101
3220110210112101
4301213122031
511312201402
61142435101
7215360521
oct61473215
926423471
1013006477
117383a60
124432a91
132905153
141a27d81
15121db87
hexc6768d

13006477 has 16 divisors (see below), whose sum is σ = 14981760. Its totient is φ = 11176000.

The previous prime is 13006459. The next prime is 13006489. The reversal of 13006477 is 77460031.

It is not a de Polignac number, because 13006477 - 223 = 4617869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006447) 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 15 ways as a sum of consecutive naturals, for example, 25299 + ... + 25807.

It is an arithmetic number, because the mean of its divisors is an integer number (936360).

Almost surely, 213006477 is an apocalyptic number.

It is an amenable number.

13006477 is a deficient number, since it is larger than the sum of its proper divisors (1975283).

13006477 is a wasteful number, since it uses less digits than its factorization.

13006477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 13006477 is about 3606.4493619071. The cubic root of 13006477 is about 235.1725125315.

It can be divided in two parts, 1300 and 6477, that added together give a palindrome (7777).

The spelling of 13006477 in words is "thirteen million, six thousand, four hundred seventy-seven".

Divisors: 1 11 23 101 253 509 1111 2323 5599 11707 25553 51409 128777 565499 1182407 13006477