Search a number
-
+
14889336 = 23372111151
BaseRepresentation
bin111000110011…
…000101111000
31001000110022220
4320303011320
512302424321
61251044040
7240362100
oct70630570
931013286
1014889336
11844a640
124ba0620
133114177
141d98200
1514919c6
hexe33178

14889336 has 96 divisors (see below), whose sum is σ = 47278080. Its totient is φ = 3864000.

The previous prime is 14889323. The next prime is 14889337. The reversal of 14889336 is 63398841.

It is a happy number.

14889336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14889337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12361 + ... + 13511.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 214889336 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 14889336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23639040).

14889336 is an abundant number, since it is smaller than the sum of its proper divisors (32388744).

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

14889336 is a wasteful number, since it uses less digits than its factorization.

14889336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1174 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 14889336 is about 3858.6702372709. The cubic root of 14889336 is about 246.0132189341.

It can be divided in two parts, 14889 and 336, that added together give a triangular number (15225 = T174).

The spelling of 14889336 in words is "fourteen million, eight hundred eighty-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1151 1176 1617 1848 2156 2302 3234 3453 4312 4604 6468 6906 8057 9208 12661 12936 13812 16114 24171 25322 27624 32228 37983 48342 50644 56399 64456 75966 88627 96684 101288 112798 151932 169197 177254 193368 225596 265881 303864 338394 354508 451192 531762 620389 676788 709016 1063524 1240778 1353576 1861167 2127048 2481556 3722334 4963112 7444668 14889336