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14932016 = 2411372293
BaseRepresentation
bin111000111101…
…100000110000
31001002121212122
4320331200300
512310311031
61252013412
7240630401
oct70754060
931077778
1014932016
118479710
125001268
13312a718
141da99a8
15149e47b
hexe3d830

14932016 has 40 divisors (see below), whose sum is σ = 32427984. Its totient is φ = 6600960.

The previous prime is 14931989. The next prime is 14932031. The reversal of 14932016 is 61023941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5366 + ... + 7658.

Almost surely, 214932016 is an apocalyptic number.

14932016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14932016 is the 2066-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14932016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213992).

14932016 is an abundant number, since it is smaller than the sum of its proper divisors (17495968).

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

14932016 is a wasteful number, since it uses less digits than its factorization.

14932016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 14932016 is about 3864.1966823649. The cubic root of 14932016 is about 246.2480587683.

Adding to 14932016 its reverse (61023941), we get a palindrome (75955957).

The spelling of 14932016 in words is "fourteen million, nine hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1628 2293 3256 4586 6512 9172 18344 25223 36688 50446 84841 100892 169682 201784 339364 403568 678728 933251 1357456 1866502 3733004 7466008 14932016