Search a number
-
+
13455216 = 2432414353
BaseRepresentation
bin110011010100…
…111101110000
3221022121002100
4303110331300
511421031331
61200220400
7222240015
oct63247560
927277070
1013455216
117660115
12460a700
132a31488
141b0370c
1512abae6
hexcd4f70

13455216 has 120 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 4193280.

The previous prime is 13455191. The next prime is 13455223. The reversal of 13455216 is 61255431.

13455216 is a `hidden beast` number, since 134 + 5 + 521 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13455216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253846 + ... + 253898.

Almost surely, 213455216 is an apocalyptic number.

13455216 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 13455216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

13455216 is an abundant number, since it is smaller than the sum of its proper divisors (26760960).

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

13455216 is a wasteful number, since it uses less digits than its factorization.

13455216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 13455216 is about 3668.1352210626. The cubic root of 13455216 is about 237.8465691884.

It can be divided in two parts, 1345 and 5216, that added together give a 8-th power (6561 = 38).

The spelling of 13455216 in words is "thirteen million, four hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 43 48 53 72 82 86 106 123 129 144 159 164 172 212 246 258 318 328 344 369 387 424 477 492 516 636 656 688 738 774 848 954 984 1032 1272 1476 1548 1763 1908 1968 2064 2173 2279 2544 2952 3096 3526 3816 4346 4558 5289 5904 6192 6519 6837 7052 7632 8692 9116 10578 13038 13674 14104 15867 17384 18232 19557 20511 21156 26076 27348 28208 31734 34768 36464 39114 41022 42312 52152 54696 63468 78228 82044 84624 93439 104304 109392 126936 156456 164088 186878 253872 280317 312912 328176 373756 560634 747512 840951 1121268 1495024 1681902 2242536 3363804 4485072 6727608 13455216