Search a number
-
+
1313216 = 2617271
BaseRepresentation
bin101000000100111000000
32110201101122
411000213000
5314010331
644051412
714106422
oct5004700
92421348
101313216
11817703
12533b68
1336c968
14262812
151ae17b
hex1409c0

1313216 has 42 divisors (see below), whose sum is σ = 2807208. Its totient is φ = 609280.

The previous prime is 1313171. The next prime is 1313219. The reversal of 1313216 is 6123131.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 1313194 and 1313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18461 + ... + 18531.

21313216 is an apocalyptic number.

1313216 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 1313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403604).

1313216 is an abundant number, since it is smaller than the sum of its proper divisors (1493992).

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

1313216 is an equidigital number, since it uses as much as digits as its factorization.

1313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

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

The square root of 1313216 is about 1145.9563691520. The cubic root of 1313216 is about 109.5078843110.

Adding to 1313216 its reverse (6123131), we get a palindrome (7436347).

The spelling of 1313216 in words is "one million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 136 142 272 284 289 544 568 578 1088 1136 1156 1207 2272 2312 2414 4544 4624 4828 9248 9656 18496 19312 20519 38624 41038 77248 82076 164152 328304 656608 1313216