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16312014 = 2322331241
BaseRepresentation
bin111110001110…
…011011001110
31010200201212200
4332032123032
513133441024
61341342330
7255435615
oct76163316
933621780
1016312014
119231504
1255679a6
1334c18a4
14224887c
1516732c9
hexf8e6ce

16312014 has 72 divisors (see below), whose sum is σ = 39036816. Its totient is φ = 4910400.

The previous prime is 16312003. The next prime is 16312019. The reversal of 16312014 is 41021361.

It is a happy number.

16312014 is a `hidden beast` number, since 1 + 631 + 20 + 14 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16312019) 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, 397834 + ... + 397874.

It is an arithmetic number, because the mean of its divisors is an integer number (542178).

Almost surely, 216312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518408).

16312014 is an abundant number, since it is smaller than the sum of its proper divisors (22724802).

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

16312014 is a wasteful number, since it uses less digits than its factorization.

16312014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

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

The square root of 16312014 is about 4038.8134396132. The cubic root of 16312014 is about 253.6116474232.

Adding to 16312014 its reverse (41021361), we get a palindrome (57333375).

The spelling of 16312014 in words is "sixteen million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 31 41 46 62 69 82 93 123 138 186 207 246 279 369 414 558 713 738 943 961 1271 1426 1886 1922 2139 2542 2829 2883 3813 4278 5658 5766 6417 7626 8487 8649 11439 12834 16974 17298 22103 22878 29233 39401 44206 58466 66309 78802 87699 118203 132618 175398 198927 236406 263097 354609 397854 526194 709218 906223 1812446 2718669 5437338 8156007 16312014