Search a number
-
+
12002094 = 2341341139
BaseRepresentation
bin101101110010…
…001100101110
3211120202210000
4231302030232
511033031334
61105125130
7204005346
oct55621456
924522700
1012002094
116858395
1240297a6
132642c40
141845d26
1510c1299
hexb7232e

12002094 has 80 divisors (see below), whose sum is σ = 29882160. Its totient is φ = 3576960.

The previous prime is 12002093. The next prime is 12002147. The reversal of 12002094 is 49020021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86277 + ... + 86415.

It is an arithmetic number, because the mean of its divisors is an integer number (373527).

Almost surely, 212002094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941080).

12002094 is an abundant number, since it is smaller than the sum of its proper divisors (17880066).

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

12002094 is a wasteful number, since it uses less digits than its factorization.

12002094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12002094 is about 3464.4038448195. The cubic root of 12002094 is about 228.9561645785.

The spelling of 12002094 in words is "twelve million, two thousand, ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 139 162 234 246 278 351 369 417 533 702 738 834 1053 1066 1107 1251 1599 1807 2106 2214 2502 3198 3321 3614 3753 4797 5421 5699 6642 7506 9594 10842 11259 11398 14391 16263 17097 22518 28782 32526 34194 43173 48789 51291 74087 86346 97578 102582 146367 148174 153873 222261 292734 307746 444522 461619 666783 923238 1333566 2000349 4000698 6001047 12002094