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13273216 = 27112857
BaseRepresentation
bin110010101000…
…100010000000
3220222100102121
4302220202000
511344220331
61152254024
7220551265
oct62504200
926870377
1013273216
117546400
124541314
132999698
141a9726c
151272c11
hexca8880

13273216 has 48 divisors (see below), whose sum is σ = 29099070. Its totient is φ = 6026240.

The previous prime is 13273207. The next prime is 13273261. The reversal of 13273216 is 61237231.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 4840000 = 2904^2 + 2200^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15060 + ... + 15916.

Almost surely, 213273216 is an apocalyptic number.

13273216 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 13273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549535).

13273216 is an abundant number, since it is smaller than the sum of its proper divisors (15825854).

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

13273216 is an equidigital number, since it uses as much as digits as its factorization.

13273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 870 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 13273216 is about 3643.2425118293. The cubic root of 13273216 is about 236.7692984302.

The spelling of 13273216 in words is "thirteen million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 857 968 1408 1714 1936 3428 3872 6856 7744 9427 13712 15488 18854 27424 37708 54848 75416 103697 109696 150832 207394 301664 414788 603328 829576 1206656 1659152 3318304 6636608 13273216