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13135716 = 22331111057
BaseRepresentation
bin110010000110…
…111101100100
3220201100211000
4302012331210
511330320331
61145313300
7216436356
oct62067544
926640730
1013135716
117462070
124495830
13294bc19
141a5d0d6
1512470e6
hexc86f64

13135716 has 48 divisors (see below), whose sum is σ = 37154880. Its totient is φ = 3980160.

The previous prime is 13135711. The next prime is 13135721. The reversal of 13135716 is 61753131.

13135716 is digitally balanced in base 2 and base 4, because in such bases 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 (13135711) and next prime (13135721).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13135716.

It is not an unprimeable number, because it can be changed into a prime (13135711) 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, 4341 + ... + 6716.

It is an arithmetic number, because the mean of its divisors is an integer number (774060).

Almost surely, 213135716 is an apocalyptic number.

It is an amenable number.

13135716 is an abundant number, since it is smaller than the sum of its proper divisors (24019164).

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

13135716 is a wasteful number, since it uses less digits than its factorization.

13135716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11081 (or 11073 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 13135716 is about 3624.3228333028. The cubic root of 13135716 is about 235.9488781350.

Adding to 13135716 its reverse (61753131), we get a palindrome (74888847).

The spelling of 13135716 in words is "thirteen million, one hundred thirty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 11057 22114 33171 44228 66342 99513 121627 132684 199026 243254 298539 364881 398052 486508 597078 729762 1094643 1194156 1459524 2189286 3283929 4378572 6567858 13135716