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13135376 = 242928309
BaseRepresentation
bin110010000110…
…111000010000
3220201100100102
4302012320100
511330313001
61145311532
7216435362
oct62067020
926640312
1013135376
117461891
1244955a8
13294ba17
141a5cd32
151246e6b
hexc86e10

13135376 has 20 divisors (see below), whose sum is σ = 26328300. Its totient is φ = 6340992.

The previous prime is 13135321. The next prime is 13135379. The reversal of 13135376 is 67353131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6250000 + 6885376 = 2500^2 + 2624^2 .

It is a super-2 number, since 2×131353762 = 345076205322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a pancake number, because a pancake can be divided into 13135376 parts by 5125 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (13135379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13691 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (1316415).

Almost surely, 213135376 is an apocalyptic number.

13135376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13135376 is an abundant number, since it is smaller than the sum of its proper divisors (13192924).

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

13135376 is a wasteful number, since it uses less digits than its factorization.

13135376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28346 (or 28340 counting only the distinct ones).

The product of its digits is 5670, while the sum is 29.

The square root of 13135376 is about 3624.2759276854. The cubic root of 13135376 is about 235.9468423797.

The spelling of 13135376 in words is "thirteen million, one hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 28309 56618 113236 226472 452944 820961 1641922 3283844 6567688 13135376