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13299072 = 27359587
BaseRepresentation
bin110010101110…
…110110000000
3221000122220020
4302232312000
511401032242
61153013440
7221016543
oct62566600
927018806
1013299072
117563876
124554280
1329a8397
141aa285a
15127a6ec
hexcaed80

13299072 has 64 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 4350464.

The previous prime is 13299071. The next prime is 13299089. The reversal of 13299072 is 27099231.

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

It is a super-2 number, since 2×132990722 = 353730632122368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13299071) 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 7 ways as a sum of consecutive naturals, for example, 22363 + ... + 22949.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 213299072 is an apocalyptic number.

13299072 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 13299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

13299072 is an abundant number, since it is smaller than the sum of its proper divisors (22686528).

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

13299072 is an equidigital number, since it uses as much as digits as its factorization.

13299072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 13299072 is about 3646.7892727713. The cubic root of 13299072 is about 236.9229395712.

It can be divided in two parts, 1329 and 9072, that added together give a palindrome (10401).

The spelling of 13299072 in words is "thirteen million, two hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 587 708 944 1174 1416 1761 1888 2348 2832 3522 3776 4696 5664 7044 7552 9392 11328 14088 18784 22656 28176 34633 37568 56352 69266 75136 103899 112704 138532 207798 225408 277064 415596 554128 831192 1108256 1662384 2216512 3324768 4433024 6649536 13299072