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13135136 = 25728377
BaseRepresentation
bin110010000110…
…110100100000
3220201100000112
4302012310200
511330311021
61145310452
7216434600
oct62066440
926640015
1013135136
117461693
124495428
13294b891
141a5cc00
151246d5b
hexc86d20

13135136 has 36 divisors (see below), whose sum is σ = 30085398. Its totient is φ = 5628672.

The previous prime is 13135127. The next prime is 13135141. The reversal of 13135136 is 63153131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12645136 + 490000 = 3556^2 + 700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2621 + ... + 5756.

Almost surely, 213135136 is an apocalyptic number.

13135136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13135136 is an abundant number, since it is smaller than the sum of its proper divisors (16950262).

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

13135136 is an equidigital number, since it uses as much as digits as its factorization.

13135136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8401 (or 8386 counting only the distinct ones).

The product of its digits is 810, while the sum is 23.

The square root of 13135136 is about 3624.2428174724. The cubic root of 13135136 is about 235.9454053548.

Adding to 13135136 its reverse (63153131), we get a palindrome (76288267).

The spelling of 13135136 in words is "thirteen million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 8377 16754 33508 58639 67016 117278 134032 234556 268064 410473 469112 820946 938224 1641892 1876448 3283784 6567568 13135136