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13934208 = 273131277
BaseRepresentation
bin110101001001…
…111010000000
3222012221010210
4311021322000
512031343313
61214354120
7226303341
oct65117200
928187123
1013934208
117957a82
1247bb940
132b6b4c2
141bca0c8
1513539c3
hexd49e80

13934208 has 64 divisors (see below), whose sum is σ = 37429920. Its totient is φ = 4592640.

The previous prime is 13934197. The next prime is 13934209. The reversal of 13934208 is 80243931.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13934209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50166 + ... + 50442.

Almost surely, 213934208 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 13934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714960).

13934208 is an abundant number, since it is smaller than the sum of its proper divisors (23495712).

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

13934208 is a wasteful number, since it uses less digits than its factorization.

13934208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

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

The square root of 13934208 is about 3732.8552074786. The cubic root of 13934208 is about 240.6360904092.

The spelling of 13934208 in words is "thirteen million, nine hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 277 384 393 524 554 786 831 1048 1108 1572 1662 2096 2216 3144 3324 4192 4432 6288 6648 8384 8864 12576 13296 16768 17728 25152 26592 35456 36287 50304 53184 72574 106368 108861 145148 217722 290296 435444 580592 870888 1161184 1741776 2322368 3483552 4644736 6967104 13934208