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12007314 = 23211237149
BaseRepresentation
bin101101110011…
…011110010010
3211121000221100
4231303132102
511033213224
61105205230
7204026514
oct55633622
924530840
1012007314
116861300
124030816
132645427
141847bb4
1510c2ac9
hexb73792

12007314 has 72 divisors (see below), whose sum is σ = 29565900. Its totient is φ = 3516480.

The previous prime is 12007313. The next prime is 12007327. The reversal of 12007314 is 41370021.

It can be written as a sum of positive squares in 2 ways, for example, as 12006225 + 1089 = 3465^2 + 33^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12007313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80512 + ... + 80660.

Almost surely, 212007314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12007314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782950).

12007314 is an abundant number, since it is smaller than the sum of its proper divisors (17558586).

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

12007314 is a wasteful number, since it uses less digits than its factorization.

12007314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12007314 is about 3465.1571392940. The cubic root of 12007314 is about 228.9893526193.

Adding to 12007314 its reverse (41370021), we get a palindrome (53377335).

It can be divided in two parts, 12007 and 314, that added together give a palindrome (12321).

The spelling of 12007314 in words is "twelve million, seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 149 198 222 242 298 333 363 407 447 666 726 814 894 1089 1221 1341 1639 2178 2442 2682 3278 3663 4477 4917 5513 7326 8954 9834 11026 13431 14751 16539 18029 26862 29502 33078 36058 40293 49617 54087 60643 80586 99234 108174 121286 162261 181929 324522 363858 545787 667073 1091574 1334146 2001219 4002438 6003657 12007314