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13278216 = 233731613
BaseRepresentation
bin110010101001…
…110000001000
3220222121021210
4302221300020
511344400331
61152333120
7220602000
oct62516010
926877253
1013278216
11754a136
1245441a0
13299ba43
141a99000
151274446
hexca9c08

13278216 has 64 divisors (see below), whose sum is σ = 38736000. Its totient is φ = 3791424.

The previous prime is 13278163. The next prime is 13278217. The reversal of 13278216 is 61287231.

It is a super-2 number, since 2×132782162 = 352622040285312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13278217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7426 + ... + 9038.

It is an arithmetic number, because the mean of its divisors is an integer number (605250).

Almost surely, 213278216 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 13278216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368000).

13278216 is an abundant number, since it is smaller than the sum of its proper divisors (25457784).

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

13278216 is a wasteful number, since it uses less digits than its factorization.

13278216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1625 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 13278216 is about 3643.9286491368. The cubic root of 13278216 is about 236.7990249077.

The spelling of 13278216 in words is "thirteen million, two hundred seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 1613 2058 2744 3226 4116 4839 6452 8232 9678 11291 12904 19356 22582 33873 38712 45164 67746 79037 90328 135492 158074 237111 270984 316148 474222 553259 632296 948444 1106518 1659777 1896888 2213036 3319554 4426072 6639108 13278216