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14001408 = 283259103
BaseRepresentation
bin110101011010…
…010100000000
3222100100022200
4311122110000
512041021113
61220033200
7230003301
oct65322400
928310280
1014001408
1179a3513
124832800
132b92c75
141c067a8
151368873
hexd5a500

14001408 has 108 divisors (see below), whose sum is σ = 41452320. Its totient is φ = 4543488.

The previous prime is 14001401. The next prime is 14001419. The reversal of 14001408 is 80410041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001401) 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, 135885 + ... + 135987.

Almost surely, 214001408 is an apocalyptic number.

14001408 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 14001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726160).

14001408 is an abundant number, since it is smaller than the sum of its proper divisors (27450912).

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

14001408 is a wasteful number, since it uses less digits than its factorization.

14001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14001408 is about 3741.8455339578. The cubic root of 14001408 is about 241.0223058617.

Adding to 14001408 its reverse (80410041), we get a palindrome (94411449).

The spelling of 14001408 in words is "fourteen million, one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 103 118 128 144 177 192 206 236 256 288 309 354 384 412 472 531 576 618 708 768 824 927 944 1062 1152 1236 1416 1648 1854 1888 2124 2304 2472 2832 3296 3708 3776 4248 4944 5664 6077 6592 7416 7552 8496 9888 11328 12154 13184 14832 15104 16992 18231 19776 22656 24308 26368 29664 33984 36462 39552 45312 48616 54693 59328 67968 72924 79104 97232 109386 118656 135936 145848 194464 218772 237312 291696 388928 437544 583392 777856 875088 1166784 1555712 1750176 2333568 3500352 4667136 7000704 14001408