Search a number
-
+
14933088 = 2532192729
BaseRepresentation
bin111000111101…
…110001100000
31001002200100100
4320331301200
512310324323
61252022400
7240633462
oct70756140
931080310
1014933088
11847a4a5
125001a00
13312b061
141daa132
15149e943
hexe3dc60

14933088 has 72 divisors (see below), whose sum is σ = 44717400. Its totient is φ = 4713984.

The previous prime is 14933081. The next prime is 14933101. The reversal of 14933088 is 88033941.

14933088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14933081) 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, 4108 + ... + 6836.

It is an arithmetic number, because the mean of its divisors is an integer number (621075).

Almost surely, 214933088 is an apocalyptic number.

14933088 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 14933088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358700).

14933088 is an abundant number, since it is smaller than the sum of its proper divisors (29784312).

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

14933088 is a wasteful number, since it uses less digits than its factorization.

14933088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14933088 is about 3864.3353891711. The cubic root of 14933088 is about 246.2539515114.

The spelling of 14933088 in words is "fourteen million, nine hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2729 2736 5458 5472 8187 10916 16374 21832 24561 32748 43664 49122 51851 65496 87328 98244 103702 130992 155553 196488 207404 261984 311106 392976 414808 466659 622212 785952 829616 933318 1244424 1659232 1866636 2488848 3733272 4977696 7466544 14933088