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12016314 = 23217107367
BaseRepresentation
bin101101110101…
…101010111010
3211121111021200
4231311222322
511034010224
61105315030
7204064662
oct55655272
924544250
1012016314
116868042
124035a76
13264955b
14184b1a2
1510c55c9
hexb75aba

12016314 has 48 divisors (see below), whose sum is σ = 27900288. Its totient is φ = 3724416.

The previous prime is 12016283. The next prime is 12016337. The reversal of 12016314 is 41361021.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32559 + ... + 32925.

It is an arithmetic number, because the mean of its divisors is an integer number (581256).

Almost surely, 212016314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12016314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950144).

12016314 is an abundant number, since it is smaller than the sum of its proper divisors (15883974).

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

12016314 is a wasteful number, since it uses less digits than its factorization.

12016314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 496 counting only the distinct ones).

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

The square root of 12016314 is about 3466.4555384427. The cubic root of 12016314 is about 229.0465507980.

Adding to 12016314 its reverse (41361021), we get a palindrome (53377335).

The spelling of 12016314 in words is "twelve million, sixteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 214 306 321 367 642 734 963 1101 1819 1926 2202 3303 3638 5457 6239 6606 10914 12478 16371 18717 32742 37434 39269 56151 78538 112302 117807 235614 353421 667573 706842 1335146 2002719 4005438 6008157 12016314