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13630 = 252947
BaseRepresentation
bin11010100111110
3200200211
43110332
5414010
6143034
754511
oct32476
920624
1013630
11a271
127a7a
136286
144d78
15408a
hex353e

13630 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 5152.

The previous prime is 13627. The next prime is 13633. The reversal of 13630 is 3631.

13630 = T15 + T16 + ... + T43.

13630 = 62 + 72 + ... + 342.

It is an interprime number because it is at equal distance from previous prime (13627) and next prime (13633).

13630 is an undulating number in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 13630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

213630 is an apocalyptic number.

13630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13630 is a deficient number, since it is larger than the sum of its proper divisors (12290).

13630 is a wasteful number, since it uses less digits than its factorization.

13630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13630 is about 116.7475909816. The cubic root of 13630 is about 23.8872021724.

Subtracting from 13630 its reverse (3631), we obtain a palindrome (9999).

The spelling of 13630 in words is "thirteen thousand, six hundred thirty".

Divisors: 1 2 5 10 29 47 58 94 145 235 290 470 1363 2726 6815 13630