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13201024 = 27151683
BaseRepresentation
bin110010010110…
…111010000000
3220211200101211
4302112322000
511334413044
61150535504
7220130644
oct62267200
926750354
1013201024
1174a7141
124507594
132972875
141a78c24
15125b634
hexc96e80

13201024 has 32 divisors (see below), whose sum is σ = 26511840. Its totient is φ = 6547200.

The previous prime is 13200997. The next prime is 13201033. The reversal of 13201024 is 42010231.

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

It is a junction number, because it is equal to n+sod(n) for n = 13200995 and 13201013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18987 + ... + 19669.

It is an arithmetic number, because the mean of its divisors is an integer number (828495).

Almost surely, 213201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13255920).

13201024 is an abundant number, since it is smaller than the sum of its proper divisors (13310816).

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

13201024 is an equidigital number, since it uses as much as digits as its factorization.

13201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13201024 is about 3633.3213455460. The cubic root of 13201024 is about 236.3392611765.

Adding to 13201024 its reverse (42010231), we get a palindrome (55211255).

The spelling of 13201024 in words is "thirteen million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 683 1208 1366 2416 2732 4832 5464 9664 10928 19328 21856 43712 87424 103133 206266 412532 825064 1650128 3300256 6600512 13201024