Search a number
-
+
13954208 = 251959389
BaseRepresentation
bin110101001110…
…110010100000
3222020221120112
4311032302200
512033013313
61215030452
7226415552
oct65166240
928227515
1013954208
117971004
12480b428
132b77638
141bd34d2
1513598a8
hexd4eca0

13954208 has 48 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 6481152.

The previous prime is 13954207. The next prime is 13954219. The reversal of 13954208 is 80245931.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13954201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35678 + ... + 36066.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 213954208 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 13954208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

13954208 is an abundant number, since it is smaller than the sum of its proper divisors (15529792).

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

13954208 is a wasteful number, since it uses less digits than its factorization.

13954208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 13954208 is about 3735.5331614108. The cubic root of 13954208 is about 240.7511650286.

The spelling of 13954208 in words is "thirteen million, nine hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 389 472 608 778 944 1121 1556 1888 2242 3112 4484 6224 7391 8968 12448 14782 17936 22951 29564 35872 45902 59128 91804 118256 183608 236512 367216 436069 734432 872138 1744276 3488552 6977104 13954208