[go: up one dir, main page]

Search a number
-
+
14201208 = 23327191483
BaseRepresentation
bin110110001011…
…000101111000
3222201111101200
4312023011320
512113414313
61224214200
7231464640
oct66130570
928644350
1014201208
11801a63a
12490a360
132c32ba8
141c59520
1513a7b73
hexd8b178

14201208 has 96 divisors (see below), whose sum is σ = 46300800. Its totient is φ = 3841344.

The previous prime is 14201197. The next prime is 14201219. The reversal of 14201208 is 80210241.

14201208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14201197) and next prime (14201219).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8835 + ... + 10317.

It is an arithmetic number, because the mean of its divisors is an integer number (482300).

Almost surely, 214201208 is an apocalyptic number.

14201208 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 14201208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23150400).

14201208 is an abundant number, since it is smaller than the sum of its proper divisors (32099592).

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

14201208 is a wasteful number, since it uses less digits than its factorization.

14201208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1514 counting only the distinct ones).

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

The square root of 14201208 is about 3768.4490178321. The cubic root of 14201208 is about 242.1633575907.

Adding to 14201208 its reverse (80210241), we get a palindrome (94411449).

It can be divided in two parts, 1420 and 1208, that added together give a triangular number (2628 = T72).

The spelling of 14201208 in words is "fourteen million, two hundred one thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1483 1596 2394 2966 3192 4449 4788 5932 8898 9576 10381 11864 13347 17796 20762 26694 28177 31143 35592 41524 53388 56354 62286 83048 84531 93429 106776 112708 124572 169062 186858 197239 225416 249144 253593 338124 373716 394478 507186 591717 676248 747432 788956 1014372 1183434 1577912 1775151 2028744 2366868 3550302 4733736 7100604 14201208