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1331216 = 241929151
BaseRepresentation
bin101000101000000010000
32111122002022
411011000100
5320044331
644311012
714213045
oct5050020
92448068
101331216
1182a187
12542468
13377c03
142691cc
151b467b
hex145010

1331216 has 40 divisors (see below), whose sum is σ = 2827200. Its totient is φ = 604800.

The previous prime is 1331207. The next prime is 1331227. The reversal of 1331216 is 6121331.

It is a junction number, because it is equal to n+sod(n) for n = 1331194 and 1331203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8741 + ... + 8891.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

21331216 is an apocalyptic number.

1331216 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 1331216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413600).

1331216 is an abundant number, since it is smaller than the sum of its proper divisors (1495984).

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

1331216 is a wasteful number, since it uses less digits than its factorization.

1331216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 1331216 is about 1153.7833418801. The cubic root of 1331216 is about 110.0059500914.

Adding to 1331216 its reverse (6121331), we get a palindrome (7452547).

It can be divided in two parts, 1331 and 216, that multiplied together give a cube (287496 = 663).

The spelling of 1331216 in words is "one million, three hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 151 152 232 302 304 464 551 604 1102 1208 2204 2416 2869 4379 4408 5738 8758 8816 11476 17516 22952 35032 45904 70064 83201 166402 332804 665608 1331216