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13135374 = 2327611709
BaseRepresentation
bin110010000110…
…111000001110
3220201100100100
4302012320032
511330312444
61145311530
7216435360
oct62067016
926640310
1013135374
11746188a
1244955a6
13294ba15
141a5cd30
151246e69
hexc86e0e

13135374 has 48 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 3689280.

The previous prime is 13135321. The next prime is 13135379. The reversal of 13135374 is 47353131.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6832 + ... + 8540.

It is an arithmetic number, because the mean of its divisors is an integer number (689130).

Almost surely, 213135374 is an apocalyptic number.

13135374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

13135374 is an abundant number, since it is smaller than the sum of its proper divisors (19942866).

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

13135374 is a wasteful number, since it uses less digits than its factorization.

13135374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1782 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 13135374 is about 3624.2756517682. The cubic root of 13135374 is about 235.9468304045.

The spelling of 13135374 in words is "thirteen million, one hundred thirty-five thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 1709 2562 3418 3843 5127 7686 10254 11963 15381 23926 30762 35889 71778 104249 107667 208498 215334 312747 625494 729743 938241 1459486 1876482 2189229 4378458 6567687 13135374