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13135024 = 247235099
BaseRepresentation
bin110010000110…
…110010110000
3220201022212101
4302012302300
511330310044
61145310144
7216434350
oct62066260
926638771
1013135024
1174615a1
124495354
13294b806
141a5cb60
151246cd4
hexc86cb0

13135024 has 40 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 5383488.

The previous prime is 13135019. The next prime is 13135027. The reversal of 13135024 is 42053131.

It is a junction number, because it is equal to n+sod(n) for n = 13134992 and 13135010.

It is not an unprimeable number, because it can be changed into a prime (13135027) 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, 27 + ... + 5125.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 213135024 is an apocalyptic number.

13135024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

13135024 is an abundant number, since it is smaller than the sum of its proper divisors (17220176).

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

13135024 is a wasteful number, since it uses less digits than its factorization.

13135024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13135024 is about 3624.2273659361. The cubic root of 13135024 is about 235.9447347371.

Adding to 13135024 its reverse (42053131), we get a palindrome (55188155).

The spelling of 13135024 in words is "thirteen million, one hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 5099 10198 20396 35693 40792 71386 81584 117277 142772 234554 285544 469108 571088 820939 938216 1641878 1876432 3283756 6567512 13135024