Search a number
-
+
14193816 = 2337136797
BaseRepresentation
bin110110001001…
…010010011000
3222201010020220
4312021102120
512113200231
61224120040
7231434250
oct66112230
928633226
1014193816
11801502a
124906020
132c2c710
141c56960
1513a5896
hexd89498

14193816 has 128 divisors (see below), whose sum is σ = 44782080. Its totient is φ = 3649536.

The previous prime is 14193811. The next prime is 14193821. The reversal of 14193816 is 61839141.

It is an interprime number because it is at equal distance from previous prime (14193811) and next prime (14193821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14193811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146280 + ... + 146376.

It is an arithmetic number, because the mean of its divisors is an integer number (349860).

Almost surely, 214193816 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 14193816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391040).

14193816 is an abundant number, since it is smaller than the sum of its proper divisors (30588264).

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

14193816 is a wasteful number, since it uses less digits than its factorization.

14193816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 14193816 is about 3767.4681153263. The cubic root of 14193816 is about 242.1213334141.

The spelling of 14193816 in words is "fourteen million, one hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 67 78 84 91 97 104 134 156 168 182 194 201 268 273 291 312 364 388 402 469 536 546 582 679 728 776 804 871 938 1092 1164 1261 1358 1407 1608 1742 1876 2037 2184 2328 2522 2613 2716 2814 3484 3752 3783 4074 5044 5226 5432 5628 6097 6499 6968 7566 8148 8827 10088 10452 11256 12194 12998 15132 16296 17654 18291 19497 20904 24388 25996 26481 30264 35308 36582 38994 45493 48776 51992 52962 70616 73164 77988 84487 90986 105924 136479 146328 155976 168974 181972 211848 253461 272958 337948 363944 506922 545916 591409 675896 1013844 1091832 1182818 1774227 2027688 2365636 3548454 4731272 7096908 14193816