Search a number
-
+
12333087 = 331341857
BaseRepresentation
bin101111000011…
…000000011111
3212012120211000
4233003000133
511124124322
61120201343
7206554344
oct57030037
925176730
1012333087
116a64038
124169253
13272a7b0
1418d07cb
1511393ac
hexbc301f

12333087 has 32 divisors (see below), whose sum is σ = 20180160. Its totient is φ = 7395840.

The previous prime is 12333073. The next prime is 12333089. The reversal of 12333087 is 78033321.

12333087 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12333087 - 215 = 12300319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12333087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333089) 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, 13963 + ... + 14819.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 212333087 is an apocalyptic number.

12333087 is a deficient number, since it is larger than the sum of its proper divisors (7847073).

12333087 is a wasteful number, since it uses less digits than its factorization.

12333087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 12333087 is about 3511.8495127212. The cubic root of 12333087 is about 231.0418207298.

The spelling of 12333087 in words is "twelve million, three hundred thirty-three thousand, eighty-seven".

Divisors: 1 3 9 13 27 39 41 117 123 351 369 533 857 1107 1599 2571 4797 7713 11141 14391 23139 33423 35137 100269 105411 300807 316233 456781 948699 1370343 4111029 12333087