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13274112 = 210329149
BaseRepresentation
bin110010101000…
…110000000000
3220222101122210
4302220300000
511344232422
61152302120
7220554015
oct62506000
926871583
1013274112
117547045
124541940
132999c07
141a9770c
15127310c
hexca8c00

13274112 has 88 divisors (see below), whose sum is σ = 36846000. Its totient is φ = 4243456.

The previous prime is 13274111. The next prime is 13274137. The reversal of 13274112 is 21147231.

It is not an unprimeable number, because it can be changed into a prime (13274111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89014 + ... + 89162.

Almost surely, 213274112 is an apocalyptic number.

13274112 is a gapful number since it is divisible by the number (12) 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 13274112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423000).

13274112 is an abundant number, since it is smaller than the sum of its proper divisors (23571888).

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

13274112 is a wasteful number, since it uses less digits than its factorization.

13274112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 13274112 is about 3643.3654771379. The cubic root of 13274112 is about 236.7746259639.

The spelling of 13274112 in words is "thirteen million, two hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 149 174 192 232 256 298 348 384 447 464 512 596 696 768 894 928 1024 1192 1392 1536 1788 1856 2384 2784 3072 3576 3712 4321 4768 5568 7152 7424 8642 9536 11136 12963 14304 14848 17284 19072 22272 25926 28608 29696 34568 38144 44544 51852 57216 69136 76288 89088 103704 114432 138272 152576 207408 228864 276544 414816 457728 553088 829632 1106176 1659264 2212352 3318528 4424704 6637056 13274112