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13382208 = 263273319
BaseRepresentation
bin110011000011…
…001001000000
3221011212221100
4303003021000
511411212313
61154454400
7221514120
oct63031100
927155840
1013382208
117610284
124594400
132a07188
141ac4c80
151295173
hexcc3240

13382208 has 84 divisors (see below), whose sum is σ = 43850560. Its totient is φ = 3822336.

The previous prime is 13382207. The next prime is 13382227. The reversal of 13382208 is 80228331.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13382207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2373 + ... + 5691.

Almost surely, 213382208 is an apocalyptic number.

13382208 is a gapful number since it is divisible by the number (18) 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 13382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21925280).

13382208 is an abundant number, since it is smaller than the sum of its proper divisors (30468352).

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

13382208 is a wasteful number, since it uses less digits than its factorization.

13382208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13382208 is about 3658.1700343204. The cubic root of 13382208 is about 237.4156036234.

The spelling of 13382208 in words is "thirteen million, three hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 3319 4032 6638 9957 13276 19914 23233 26552 29871 39828 46466 53104 59742 69699 79656 92932 106208 119484 139398 159312 185864 209097 212416 238968 278796 318624 371728 418194 477936 557592 637248 743456 836388 955872 1115184 1486912 1672776 1911744 2230368 3345552 4460736 6691104 13382208