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13324416 = 27374957
BaseRepresentation
bin110010110101…
…000010000000
3221001221122220
4302311002000
511402340131
61153331040
7221153460
oct62650200
927057586
1013324416
117580916
124566a80
1329b6a91
141aabba0
151282e96
hexcb5080

13324416 has 64 divisors (see below), whose sum is σ = 40457280. Its totient is φ = 3806208.

The previous prime is 13324397. The next prime is 13324469. The reversal of 13324416 is 61442331.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 5166.

It is an arithmetic number, because the mean of its divisors is an integer number (632145).

Almost surely, 213324416 is an apocalyptic number.

13324416 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 13324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20228640).

13324416 is an abundant number, since it is smaller than the sum of its proper divisors (27132864).

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

13324416 is an equidigital number, since it uses as much as digits as its factorization.

13324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4969 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 13324416 is about 3650.2624563174. The cubic root of 13324416 is about 237.0733451712.

Adding to 13324416 its reverse (61442331), we get a palindrome (74766747).

The spelling of 13324416 in words is "thirteen million, three hundred twenty-four thousand, four hundred sixteen".

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 4957 9914 14871 19828 29742 34699 39656 59484 69398 79312 104097 118968 138796 158624 208194 237936 277592 317248 416388 475872 555184 634496 832776 951744 1110368 1665552 1903488 2220736 3331104 4441472 6662208 13324416