Search a number
-
+
13683216 = 243893203
BaseRepresentation
bin110100001100…
…101000010000
3221202011211210
4310030220100
512000330331
61205140120
7224206521
oct64145020
927664753
1013683216
1177a6448
1246ba640
132ab11a1
141b62848
151304446
hexd0ca10

13683216 has 40 divisors (see below), whose sum is σ = 35756640. Its totient is φ = 4508416.

The previous prime is 13683199. The next prime is 13683247. The reversal of 13683216 is 61238631.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2671 + ... + 5873.

It is an arithmetic number, because the mean of its divisors is an integer number (893916).

Almost surely, 213683216 is an apocalyptic number.

13683216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13683216 is the 2136-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13683216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17878320).

13683216 is an abundant number, since it is smaller than the sum of its proper divisors (22073424).

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

13683216 is a wasteful number, since it uses less digits than its factorization.

13683216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3297 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13683216 is about 3699.0831296417. The cubic root of 13683216 is about 239.1824963050.

The spelling of 13683216 in words is "thirteen million, six hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 3203 4272 6406 9609 12812 19218 25624 38436 51248 76872 153744 285067 570134 855201 1140268 1710402 2280536 3420804 4561072 6841608 13683216