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13416320 = 27520963
BaseRepresentation
bin110011001011…
…011110000000
3221020121201202
4303023132000
511413310240
61155320332
7222015431
oct63133600
927217652
1013416320
117633975
1245b00a8
132a19868
141ad3488
1512a0315
hexccb780

13416320 has 32 divisors (see below), whose sum is σ = 32074920. Its totient is φ = 5366272.

The previous prime is 13416313. The next prime is 13416329. The reversal of 13416320 is 2361431.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13416292 and 13416301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416329) 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 3 ways as a sum of consecutive naturals, for example, 9842 + ... + 11121.

Almost surely, 213416320 is an apocalyptic number.

13416320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13416320 is an abundant number, since it is smaller than the sum of its proper divisors (18658600).

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

13416320 is an equidigital number, since it uses as much as digits as its factorization.

13416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20982 (or 20970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13416320 is about 3662.8295073618. The cubic root of 13416320 is about 237.6171610304.

Adding to 13416320 its reverse (2361431), we get a palindrome (15777751).

The spelling of 13416320 in words is "thirteen million, four hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 20963 41926 83852 104815 167704 209630 335408 419260 670816 838520 1341632 1677040 2683264 3354080 6708160 13416320