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13199056 = 2413233189
BaseRepresentation
bin110010010110…
…011011010000
3220211120200221
4302112123100
511334332211
61150522424
7220122133
oct62263320
926746627
1013199056
1174a5712
124506414
1329719c0
141a7821a
15125ac71
hexc966d0

13199056 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 5575680.

The previous prime is 13199051. The next prime is 13199071. The reversal of 13199056 is 65099131.

It is a super-2 number, since 2×131990562 = 348430158582272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13199051) 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 15 ways as a sum of consecutive naturals, for example, 148260 + ... + 148348.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 213199056 is an apocalyptic number.

13199056 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 13199056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

13199056 is an abundant number, since it is smaller than the sum of its proper divisors (16799024).

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

13199056 is a wasteful number, since it uses less digits than its factorization.

13199056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 13199056 is about 3633.0505088699. The cubic root of 13199056 is about 236.3275161588.

The spelling of 13199056 in words is "thirteen million, one hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 23 26 31 46 52 62 89 92 104 124 178 184 208 248 299 356 368 403 496 598 712 713 806 1157 1196 1424 1426 1612 2047 2314 2392 2759 2852 3224 4094 4628 4784 5518 5704 6448 8188 9256 9269 11036 11408 16376 18512 18538 22072 26611 32752 35867 37076 44144 53222 63457 71734 74152 106444 126914 143468 148304 212888 253828 286936 425776 507656 573872 824941 1015312 1649882 3299764 6599528 13199056