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13351296 = 27374967
BaseRepresentation
bin110010111011…
…100110000000
3221010022112110
4302323212000
511404220141
61154055320
7221325030
oct62734600
927108473
1013351296
11759a032
12457a540
1329c609a
141ab78c0
15128ae16
hexcbb980

13351296 has 64 divisors (see below), whose sum is σ = 40538880. Its totient is φ = 3813888.

The previous prime is 13351279. The next prime is 13351333. The reversal of 13351296 is 69215331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 205 + ... + 5171.

It is an arithmetic number, because the mean of its divisors is an integer number (633420).

Almost surely, 213351296 is an apocalyptic number.

13351296 is a gapful number since it is divisible by the number (16) 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 13351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269440).

13351296 is an abundant number, since it is smaller than the sum of its proper divisors (27187584).

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

13351296 is an equidigital number, since it uses as much as digits as its factorization.

13351296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4979 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 13351296 is about 3653.9425282837. The cubic root of 13351296 is about 237.2326579973.

The spelling of 13351296 in words is "thirteen million, three hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4967 9934 14901 19868 29802 34769 39736 59604 69538 79472 104307 119208 139076 158944 208614 238416 278152 317888 417228 476832 556304 635776 834456 953664 1112608 1668912 1907328 2225216 3337824 4450432 6675648 13351296